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710.0453
Higher-spin Gauge and Trace Anomalies in Two-dimensional Backgrounds
Two-dimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories, and hence all the physical (covariant) quantities can be written in terms of the corresponding holomorphic quantities. In this paper, we first derive relations between covariant and holomorphic forms of higher-spin currents in these backgrounds, and then, by using these relations, obtain higher-spin generalizations of the trace and gauge (or gravitational) anomalies up to spin 4. These results are applied to derive higher-moments of Hawking fluxes in black holes in a separate paper arXiv:0710.0456.
hep-th gr-qc
twodimensional quantum fields in electric and gravitational backgrounds can be described by conformal field theories and hence all the physical covariant quantities can be written in terms of the corresponding holomorphic quantities in this paper we first derive relations between covariant and holomorphic forms of higherspin currents in these backgrounds and then by using these relations obtain higherspin generalizations of the trace and gauge or gravitational anomalies up to spin 4 these results are applied to derive highermoments of hawking fluxes in black holes in a separate paper arxiv07100456
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710.0454
Search for two photon exchange from $e^+ +e^-\to p+\bar p +\gamma$ data
We look for asymmetries in the angular distributions of events from recent data on $e^+ +e^-\to p +\bar p +\gamma$ from BABAR collaboration. From first principles, as the C-invariance of the electromagnetic interaction and the crossing symmetry, the presence of two-photon exchange would create a forward backward asymmetry in the data. The analysis of the available data shows no asymmetry, within an error of 2%. This result is consistent with a structureless model for the proton, based on a calculation of $e^+ +e^-\to \mu^+ + \mu^- +\gamma$ with a proper replacement of the muon mass. As no systematic deviations are seen, we can conclude that these data do not give any hint of the presence of the two photon contribution, in all the considered kinematical range.
hep-ph
we look for asymmetries in the angular distributions of events from recent data on e eto p bar p gamma from babar collaboration from first principles as the cinvariance of the electromagnetic interaction and the crossing symmetry the presence of twophoton exchange would create a forward backward asymmetry in the data the analysis of the available data shows no asymmetry within an error of 2 this result is consistent with a structureless model for the proton based on a calculation of e eto mu mu gamma with a proper replacement of the muon mass as no systematic deviations are seen we can conclude that these data do not give any hint of the presence of the two photon contribution in all the considered kinematical range
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710.0455
Adjoint zero-modes as a tool to understand the Yang-Mills vacuum
The use of adjoint (quasi) zero-modes of the Dirac operator to probe the Yangs-Mills vacuum has been recently advocated by Gonzalez-Arroyo and Kirchner. The construction relies on the use of the super-symmetric zero mode which, for classical configurations, provides a direct estimate of the gauge action density. In the lattice implementation of this idea, we show how the results improve considerably if the overlap operator is used instead of the Wilson-Dirac one. Before proceeding to the detailed study of Monte Carlo ensembles, we studied here a series of potentially complicated situations which can be encountered. In particular, we study the case of instanton anti-instanton pairs and analyse how the results depend upon separation. The effect of lattice artifacts is also of concern. Indeed, a statistical analysis of zero modes of thermalised SU(2) configurations at beta=2.57 shows a significant fraction having 4N+2 adjoint zero modes, in contradiction with the index theorem. This violation must be associated to the roughness of the lattice configurations. Indeed, we show that this situation occurs for instantons of size of the order of the lattice spacing.
hep-lat
the use of adjoint quasi zeromodes of the dirac operator to probe the yangsmills vacuum has been recently advocated by gonzalezarroyo and kirchner the construction relies on the use of the supersymmetric zero mode which for classical configurations provides a direct estimate of the gauge action density in the lattice implementation of this idea we show how the results improve considerably if the overlap operator is used instead of the wilsondirac one before proceeding to the detailed study of monte carlo ensembles we studied here a series of potentially complicated situations which can be encountered in particular we study the case of instanton antiinstanton pairs and analyse how the results depend upon separation the effect of lattice artifacts is also of concern indeed a statistical analysis of zero modes of thermalised su2 configurations at beta257 shows a significant fraction having 4n2 adjoint zero modes in contradiction with the index theorem this violation must be associated to the roughness of the lattice configurations indeed we show that this situation occurs for instantons of size of the order of the lattice spacing
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710.0456
Hawking Radiation via Higher-spin Gauge Anomalies
We give a higher-spin generalization of the anomaly method for the Hawking radiation from black holes. In the paper arXiv:0710.0453 higher-spin generalizations of the gauge (and gravitational) anomalies in d=2 were obtained. By applying these anomalies to black hole physics, we derive the higher moments of the Hawking fluxes. We also give a higher-spin generalization of the trace anomaly method by Christensen and Fulling.
hep-th gr-qc
we give a higherspin generalization of the anomaly method for the hawking radiation from black holes in the paper arxiv07100453 higherspin generalizations of the gauge and gravitational anomalies in d2 were obtained by applying these anomalies to black hole physics we derive the higher moments of the hawking fluxes we also give a higherspin generalization of the trace anomaly method by christensen and fulling
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710.0457
Conditional observability versus self-duality in a schematic model
In a simple PT-symmetric model we demonstrate that and how the violation of a reflection symmetry $E_j=-E_{N+1-j}$ of the spectrum (called "self-duality" by Dunne and Shifman) is connected with the loss of the simplicity of the shape of the boundary of the domain D of parameters where the Hamiltonian H is quasi-Hermitian, i.e., where all the bound-state energies are real.
quant-ph
in a simple ptsymmetric model we demonstrate that and how the violation of a reflection symmetry e_je_n1j of the spectrum called selfduality by dunne and shifman is connected with the loss of the simplicity of the shape of the boundary of the domain d of parameters where the hamiltonian h is quasihermitian ie where all the boundstate energies are real
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710.0458
An alternative heavy Higgs mass limit
After commenting on the present value of the Higgs particle mass from radiative corrections, we explore the phenomenological implications of an alternative, non-perturbative renormalization of the scalar sector where the mass of the Higgs particle does not represent a measure of observable interactions at the Higgs mass scale. In this approach the Higgs particle could be very heavy, even heavier than 1 TeV, and remain nevertheless a relatively narrow resonance.
hep-ph
after commenting on the present value of the higgs particle mass from radiative corrections we explore the phenomenological implications of an alternative nonperturbative renormalization of the scalar sector where the mass of the higgs particle does not represent a measure of observable interactions at the higgs mass scale in this approach the higgs particle could be very heavy even heavier than 1 tev and remain nevertheless a relatively narrow resonance
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710.0459
Statistical properties of agent-based market area model
One dimensional stylized model taking into account spatial activity of firms with uniformly distributed customers is proposed. The spatial selling area of each firm is defined by a short interval cut out from selling space (large interval). In this representation, the firm size is directly associated with the size of its selling interval. The recursive synchronous dynamics of economic evolution is discussed where the growth rate is proportional to the firm size incremented by the term including the overlap of the selling area with areas of competing firms. Other words, the overlap of selling areas inherently generate a negative feedback originated from the pattern of demand. Numerical simulations focused on the obtaining of the firm size distributions uncovered that the range of free parameters where the Pareto's law holds corresponds to the range for which the pair correlation between the nearest neighbor firms attains its minimum.
q-fin.GN physics.comp-ph physics.soc-ph
one dimensional stylized model taking into account spatial activity of firms with uniformly distributed customers is proposed the spatial selling area of each firm is defined by a short interval cut out from selling space large interval in this representation the firm size is directly associated with the size of its selling interval the recursive synchronous dynamics of economic evolution is discussed where the growth rate is proportional to the firm size incremented by the term including the overlap of the selling area with areas of competing firms other words the overlap of selling areas inherently generate a negative feedback originated from the pattern of demand numerical simulations focused on the obtaining of the firm size distributions uncovered that the range of free parameters where the paretos law holds corresponds to the range for which the pair correlation between the nearest neighbor firms attains its minimum
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710.046
Convergence of simple random walks on random discrete trees to Brownian motion on the continuum random tree
In this article it is shown that the Brownian motion on the continuum random tree is the scaling limit of the simple random walks on any family of discrete $n$-vertex ordered graph trees whose search-depth functions converge to the Brownian excursion as $n\to\infty$. We prove both a quenched version (for typical realisations of the trees) and an annealed version (averaged over all realisations of the trees) of our main result. The assumptions of the article cover the important example of simple random walks on the trees generated by the Galton-Watson branching process, conditioned on the total population size.
math.PR
in this article it is shown that the brownian motion on the continuum random tree is the scaling limit of the simple random walks on any family of discrete nvertex ordered graph trees whose searchdepth functions converge to the brownian excursion as ntoinfty we prove both a quenched version for typical realisations of the trees and an annealed version averaged over all realisations of the trees of our main result the assumptions of the article cover the important example of simple random walks on the trees generated by the galtonwatson branching process conditioned on the total population size
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710.0461
Momentum of an electromagnetic wave in dielectric media
Almost a hundred years ago, two different expressions were proposed for the energy--momentum tensor of an electromagnetic wave in a dielectric. Minkowski's tensor predicted an increase in the linear momentum of the wave on entering a dielectric medium, whereas Abraham's tensor predicted its decrease. Theoretical arguments were advanced in favour of both sides, and experiments proved incapable of distinguishing between the two. Yet more forms were proposed, each with their advocates who considered the form that they were proposing to be the one true tensor. This paper reviews the debate and its eventual conclusion: that no electromagnetic wave energy--momentum tensor is complete on its own. When the appropriate accompanying energy--momentum tensor for the material medium is also considered, experimental predictions of all the various proposed tensors will always be the same, and the preferred form is therefore effectively a matter of personal choice.
physics.class-ph physics.optics
almost a hundred years ago two different expressions were proposed for the energymomentum tensor of an electromagnetic wave in a dielectric minkowskis tensor predicted an increase in the linear momentum of the wave on entering a dielectric medium whereas abrahams tensor predicted its decrease theoretical arguments were advanced in favour of both sides and experiments proved incapable of distinguishing between the two yet more forms were proposed each with their advocates who considered the form that they were proposing to be the one true tensor this paper reviews the debate and its eventual conclusion that no electromagnetic wave energymomentum tensor is complete on its own when the appropriate accompanying energymomentum tensor for the material medium is also considered experimental predictions of all the various proposed tensors will always be the same and the preferred form is therefore effectively a matter of personal choice
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710.0462
B_K with dynamical overlap fermions
We report on a calculation of $B_K$ with two-flavor dynamical overlap fermions on a $16^3 \times 32$ lattice at $a\sim 0.12$ fm. The results are compared with the PQChPT prediction of quark mass dependence. The systematic errors due to finite volume effects and fixing topology are discussed.
hep-lat
we report on a calculation of b_k with twoflavor dynamical overlap fermions on a 163 times 32 lattice at asim 012 fm the results are compared with the pqchpt prediction of quark mass dependence the systematic errors due to finite volume effects and fixing topology are discussed
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710.0463
Ground-state phase diagram and magnetic properties of a tetramerized spin-1/2 J_1-J_2 model: BEC of bound magnons and absence of the transverse magnetization
We study the ground state and the magnetization process of a spin-1/2 $J_1$-$J_2$ model with a plaquette structure by using various methods. For small inter-plaquette interaction, this model is expected to have a spin-gap and we computed the first- and the second excitation energies. If the gap of the lowest excitation closes, the corresponding particle condenses to form magnetic orders. By analyzing the quintet gap and magnetic interactions among the quintet excitations, we find a spin-nematic phase around $J_1/J_2\sim -2$ due to the strong frustration and the quantum effect. When high magnetic moment is applied, not the spin-1 excitations but the spin-2 ones soften and dictate the magnetization process. We apply a mean-field approximation to the effective Hamiltonian to find three different types of phases (a conventional BEC phase, ``striped'' supersolid phases and a 1/2-plateau). Unlike the BEC in spin-dimer systems, this BEC phase is not accompanied by transverse magnetization. Possible connection to the recently discovered spin-gap compound (CuCl)LaNb2O7 is discussed.
cond-mat.str-el
we study the ground state and the magnetization process of a spin12 j_1j_2 model with a plaquette structure by using various methods for small interplaquette interaction this model is expected to have a spingap and we computed the first and the second excitation energies if the gap of the lowest excitation closes the corresponding particle condenses to form magnetic orders by analyzing the quintet gap and magnetic interactions among the quintet excitations we find a spinnematic phase around j_1j_2sim 2 due to the strong frustration and the quantum effect when high magnetic moment is applied not the spin1 excitations but the spin2 ones soften and dictate the magnetization process we apply a meanfield approximation to the effective hamiltonian to find three different types of phases a conventional bec phase striped supersolid phases and a 12plateau unlike the bec in spindimer systems this bec phase is not accompanied by transverse magnetization possible connection to the recently discovered spingap compound cucllanb2o7 is discussed
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710.0464
Human proofs of identities by Osburn and Schneider
Osburn and Schneider derived several combinatorial identities involving harmonic numbers using the computer programm Sigma. Here, they are derived by partial fraction decomposition and creative telescoping.
math.CO
osburn and schneider derived several combinatorial identities involving harmonic numbers using the computer programm sigma here they are derived by partial fraction decomposition and creative telescoping
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710.0465
The Loudest Event Statistic: General Formulation, Properties and Applications
The use of the loudest observed event to generate statistical statements about rate and strength has become standard in searches for gravitational waves from compact binaries and pulsars. The Bayesian formulation of the method is generalized in this paper to allow for uncertainties both in the background estimate and in the properties of the population being constrained. The method is also extended to allow rate interval construction. Finally, it is shown how to combine the results from multiple experiments and a comparison is drawn between the upper limit obtained in a single search and the upper limit obtained by combining the results of two experiments each of half the original duration. To illustrate this, we look at an example case, motivated by the search for gravitational waves from binary inspiral.
gr-qc
the use of the loudest observed event to generate statistical statements about rate and strength has become standard in searches for gravitational waves from compact binaries and pulsars the bayesian formulation of the method is generalized in this paper to allow for uncertainties both in the background estimate and in the properties of the population being constrained the method is also extended to allow rate interval construction finally it is shown how to combine the results from multiple experiments and a comparison is drawn between the upper limit obtained in a single search and the upper limit obtained by combining the results of two experiments each of half the original duration to illustrate this we look at an example case motivated by the search for gravitational waves from binary inspiral
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710.0466
Measurement of beta in B decays to charm and charmonium in BABAR
In this article we will review recent BABAR measurements of Unitarity Triangle angle beta in B meson decays to charm and charmonium.
hep-ex
in this article we will review recent babar measurements of unitarity triangle angle beta in b meson decays to charm and charmonium
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710.0467
Inelastically generated solitons and anti-solitons in the perturbed KdV equation
Under the effect of common perturbations, the multiple-soliton solution of the KdV equation is transformed into a sum of an elastic and a first-order inelastic component. The elastic component is a perturbation series, identical in structure to the perturbed single-soliton solution. It preserves the soliton-scattering picture. The inelastic component is generated by perturbation terms that represent coupling between KdV solitons and inelastically generated soliton-anti-soliton waves. It asymptotes into solitons and anti-solitons, that evolve along the characteristic lines of the KdV solitons. This is demonstrated in the two-soliton case.
nlin.PS
under the effect of common perturbations the multiplesoliton solution of the kdv equation is transformed into a sum of an elastic and a firstorder inelastic component the elastic component is a perturbation series identical in structure to the perturbed singlesoliton solution it preserves the solitonscattering picture the inelastic component is generated by perturbation terms that represent coupling between kdv solitons and inelastically generated solitonantisoliton waves it asymptotes into solitons and antisolitons that evolve along the characteristic lines of the kdv solitons this is demonstrated in the twosoliton case
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710.0468
Elements of Group Theory
\noindent 1. Generalities\hfil\break 2. Lie groups and Lie algebras\hfil\break 3. The unitary groups\hfil\break 4. Representations of the SU(n) groups (and of their algebras)\hfil\break 5. The tensor method for unitary groups, and\hb the permutation group\hfil\break 6. Relativistic invariance. The Lorentz group\hfil\break 7. General representation of relativistic states
hep-ph
noindent 1 generalitieshfilbreak 2 lie groups and lie algebrashfilbreak 3 the unitary groupshfilbreak 4 representations of the sun groups and of their algebrashfilbreak 5 the tensor method for unitary groups andhb the permutation grouphfilbreak 6 relativistic invariance the lorentz grouphfilbreak 7 general representation of relativistic states
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710.0469
Microscopic thickness determination of thin graphite films formed on SiC from quantized oscillation in reflectivity of low-energy electrons
Low-energy electron microscopy (LEEM) was used to measure the reflectivity of low-energy electrons from graphitized SiC(0001). The reflectivity shows distinct quantized oscillations as a function of the electron energy and graphite thickness. Conduction bands in thin graphite films form discrete energy levels whose wave vectors are normal to the surface. Resonance of the incident electrons with these quantized conduction band states enhances electrons to transmit through the film into the SiC substrate, resulting in dips in the reflectivity. The dip positions are well explained using tight-binding and first-principles calculations. The graphite thickness distribution can be determined microscopically from LEEM reflectivity measurements.
cond-mat.mtrl-sci
lowenergy electron microscopy leem was used to measure the reflectivity of lowenergy electrons from graphitized sic0001 the reflectivity shows distinct quantized oscillations as a function of the electron energy and graphite thickness conduction bands in thin graphite films form discrete energy levels whose wave vectors are normal to the surface resonance of the incident electrons with these quantized conduction band states enhances electrons to transmit through the film into the sic substrate resulting in dips in the reflectivity the dip positions are well explained using tightbinding and firstprinciples calculations the graphite thickness distribution can be determined microscopically from leem reflectivity measurements
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710.047
A minimal set of generators for the ring of multisymmetric functions
The purpose of this article is to give, for any commutative ring A, an explicit minimal set of generators for the ring of multisymmetric functions TS^d_A(A[x_1,...,x_r]) as an A-algebra. In characteristic zero, i.e. when A is an algebra over the rational numbers, a minimal set of generators has been known since the 19th century. A rather small generating set in the general case has also recently been given by Vaccarino but it is not minimal in general. We also give a sharp degree bound on the generators, improving the degree bound previously obtained by Fleischmann.
math.AC math.AG
the purpose of this article is to give for any commutative ring a an explicit minimal set of generators for the ring of multisymmetric functions tsd_aax_1x_r as an aalgebra in characteristic zero ie when a is an algebra over the rational numbers a minimal set of generators has been known since the 19th century a rather small generating set in the general case has also recently been given by vaccarino but it is not minimal in general we also give a sharp degree bound on the generators improving the degree bound previously obtained by fleischmann
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710.0471
Non-perturbative improvement of nHYP smeared Wilson fermions
Using Schroedinger functional techniques, we determine the coefficient of the clover term necessary for non-perturbative O(a) improvement of hypercubic smeared Wilson fermions on a quenched plaquette action background. Unlike for unsmeared Wilson fermions, the resulting clover coefficients are close to the tree-level value even at coarse lattice spacings, indicating the absence of large cutoff effects. A number of exploratory tests are also performed with the improved action.
hep-lat
using schroedinger functional techniques we determine the coefficient of the clover term necessary for nonperturbative oa improvement of hypercubic smeared wilson fermions on a quenched plaquette action background unlike for unsmeared wilson fermions the resulting clover coefficients are close to the treelevel value even at coarse lattice spacings indicating the absence of large cutoff effects a number of exploratory tests are also performed with the improved action
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710.0472
Ernst equation and spheroidal coordinates with a cosmological constant term
We discuss solution generating techniques treating stationary and axially symmetric metrics in the presence of a cosmological constant. Using the recently found extended form of Ernst's complex equation, which takes into account the cosmological constant term, we propose an extension of spheroidal coordinates adapted to asymptotically de-Sitter and anti de-Sitter static spacetimes. In the absence of a cosmological constant we show in addition that any higher dimensional metric parametrised by a single angular momentum can be given by a 4 dimensional solution and Weyl potentials parametrising the extra Killing directions. We explicitly show how a stationary, and a static axially symmetric spacetime solution in 4 dimensions, can be {\it added} together to give a 5 dimensional stationary and axisymmetric solution.
gr-qc hep-th
we discuss solution generating techniques treating stationary and axially symmetric metrics in the presence of a cosmological constant using the recently found extended form of ernsts complex equation which takes into account the cosmological constant term we propose an extension of spheroidal coordinates adapted to asymptotically desitter and anti desitter static spacetimes in the absence of a cosmological constant we show in addition that any higher dimensional metric parametrised by a single angular momentum can be given by a 4 dimensional solution and weyl potentials parametrising the extra killing directions we explicitly show how a stationary and a static axially symmetric spacetime solution in 4 dimensions can be it added together to give a 5 dimensional stationary and axisymmetric solution
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710.0473
Reply to 'Difficulty in the Fermi-Liquid-Based Theory for the In-Plane Magnetic Anisotropy in Untwinned High-$T_c$ Superconductors'
A Reply to the Comment by Hou-Jun Zhao and Jun Li
cond-mat.supr-con cond-mat.str-el
a reply to the comment by houjun zhao and jun li
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710.0474
Fractional dynamical systems defined on fractional jet bundle and applications in economics
Using Caputo fractional derivative of order $\alpha $ we build the fractional jet bundle of order $\alpha $ and its main geometrical structures. Defined on that bundle, some fractional dynamical systems with applications to economics are studied.
math.DS math.DG
using caputo fractional derivative of order alpha we build the fractional jet bundle of order alpha and its main geometrical structures defined on that bundle some fractional dynamical systems with applications to economics are studied
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710.0475
DFT-based calculation of Coulomb blockade in molecular junction
Quantum transport through single molecules is very sensitive to the strength of the molecule-electrode contact. When a molecular junction weakly coupled to external electrodes, charging effects do play an important role (Coulomb blockade regime). In this regime, the non-equilibrium Green function is usually substituted with master equation approaches, which prevents the density functional theory from describing Coulomb blockade in non-equilibrium case. Last year, we proposed an Ansatz to combine the non-equilibrium Green function technique with the equation of motion method. With help of it, Coulomb blockade was obtained by non-equilibrium Green function, and completely agrees with the master equation results [Phys. Rev. B \textbf{76}, 045408 (2007)]. Here, by the Ansatz, we show a new way to introduce Coulomb blockade correction to DFT calculation in non-equilibrium case. And the characteristics of Coulomb blockade are obtained in the calculation of a $toy$ molecule correctly.
cond-mat.mes-hall cond-mat.mtrl-sci
quantum transport through single molecules is very sensitive to the strength of the moleculeelectrode contact when a molecular junction weakly coupled to external electrodes charging effects do play an important role coulomb blockade regime in this regime the nonequilibrium green function is usually substituted with master equation approaches which prevents the density functional theory from describing coulomb blockade in nonequilibrium case last year we proposed an ansatz to combine the nonequilibrium green function technique with the equation of motion method with help of it coulomb blockade was obtained by nonequilibrium green function and completely agrees with the master equation results phys rev b textbf76 045408 2007 here by the ansatz we show a new way to introduce coulomb blockade correction to dft calculation in nonequilibrium case and the characteristics of coulomb blockade are obtained in the calculation of a toy molecule correctly
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710.0476
Vortex topology and the continuum limit of lattice gauge theories
We study the stability of Z_2 topological vortex excitations in d+1 dimensional SU(2) Yang-Mills theory on the lattice at T=0. This is found to depend on d and on the coupling considered. We discuss the connection with lattice artifacts causing bulk transitions in the beta_A-beta_F plane and draw some conclusions regarding the continuum limit of the theory.
hep-lat
we study the stability of z_2 topological vortex excitations in d1 dimensional su2 yangmills theory on the lattice at t0 this is found to depend on d and on the coupling considered we discuss the connection with lattice artifacts causing bulk transitions in the beta_abeta_f plane and draw some conclusions regarding the continuum limit of the theory
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710.0477
Gravitational time delay of light for various models of modified gravity
We reexamined the gravitational time delay of light, allowing for various models of modified gravity. We clarify the dependence of the time delay (and induced frequency shift) on modified gravity models and investigate how to distinguish those models, when light propagates in static spherically symmetric spacetimes. Thus experiments by radio signal from spacecrafts at very different distances from Sun and future space-borne laser interferometric detectors could be a probe of modified gravity in the solar system.
gr-qc astro-ph hep-th
we reexamined the gravitational time delay of light allowing for various models of modified gravity we clarify the dependence of the time delay and induced frequency shift on modified gravity models and investigate how to distinguish those models when light propagates in static spherically symmetric spacetimes thus experiments by radio signal from spacecrafts at very different distances from sun and future spaceborne laser interferometric detectors could be a probe of modified gravity in the solar system
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710.0478
Nonperturbative approach to the quantum Hall bilayer
We develop a nonperturbative approach to the quantum Hall bilayer (QHB) at \nu=1 using trial wave functions. We predict phases of the QHB for arbitrary distance d and, our approach, in a dual picture, naturally introduces a new kind of quasiparticles - neutral fermions. Neutral fermion is a composite of two merons of the same vorticity and opposite charge. For small d (i.e. in the superfluid phase), neutral fermions appear as dipoles. At larger d dipoles dissociate into the phase of the two decoupled Fermi-liquid-like states. This scenario is relevant for the experimental situation where impurities lock charged merons. In a translation invariant (clean) system, continuous creation and annihilation of meron-antimeron pairs evolves the QHB toward a paired phase. The quantum fluctuations fix the form of the pairing function to g(z)=1/z^*. A part of the description of the paired phase is the 2D superconductor i.e. BF Chern-Simons theory. The paired phase is not very distinct from the superfluid phase.
cond-mat.mes-hall cond-mat.str-el
we develop a nonperturbative approach to the quantum hall bilayer qhb at nu1 using trial wave functions we predict phases of the qhb for arbitrary distance d and our approach in a dual picture naturally introduces a new kind of quasiparticles neutral fermions neutral fermion is a composite of two merons of the same vorticity and opposite charge for small d ie in the superfluid phase neutral fermions appear as dipoles at larger d dipoles dissociate into the phase of the two decoupled fermiliquidlike states this scenario is relevant for the experimental situation where impurities lock charged merons in a translation invariant clean system continuous creation and annihilation of meronantimeron pairs evolves the qhb toward a paired phase the quantum fluctuations fix the form of the pairing function to gz1z a part of the description of the paired phase is the 2d superconductor ie bf chernsimons theory the paired phase is not very distinct from the superfluid phase
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710.0479
Determination of the micromagnetic parameters in (Ga,Mn)As using domain theory
The magnetic domain structure and magnetic properties of a ferromagnetic (Ga,Mn)As epilayer with perpendicular magnetic easy-axis are investigated. We show that, despite strong hysteresis, domain theory at thermodynamical equilibrium can be used to determine the micromagnetic parameters. Combining magneto-optical Kerr microscopy, magnetometry and ferromagnetic resonance measurements, we obtain the characteristic parameter for magnetic domains $\lambda_c$, the domain wall width and specific energy, and the spin stiffness constant as a function of temperature. The nucleation barrier for magnetization reversal and the Walker breakdown velocity for field-driven domain wall propagation are also estimated.
cond-mat.mtrl-sci
the magnetic domain structure and magnetic properties of a ferromagnetic gamnas epilayer with perpendicular magnetic easyaxis are investigated we show that despite strong hysteresis domain theory at thermodynamical equilibrium can be used to determine the micromagnetic parameters combining magnetooptical kerr microscopy magnetometry and ferromagnetic resonance measurements we obtain the characteristic parameter for magnetic domains lambda_c the domain wall width and specific energy and the spin stiffness constant as a function of temperature the nucleation barrier for magnetization reversal and the walker breakdown velocity for fielddriven domain wall propagation are also estimated
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710.048
Smearing and filtering methods in lattice QCD - a quantitative comparison
We systematically compare three filtering methods used to extract topological excitations from lattice gauge configurations, namely smearing, Laplace filtering and the filtered fermionic topological charge (with chirally improved fermions). Each of these techniques introduces ambiguities, like its parameter dependence. We show, however, that all these methods can be tuned to each other over a broad range of filtering levels and that they reveal very similar topological structures. For these common structures we find an interesting power-law relating the number and packing fraction of clusters of filtered topological charge.
hep-lat
we systematically compare three filtering methods used to extract topological excitations from lattice gauge configurations namely smearing laplace filtering and the filtered fermionic topological charge with chirally improved fermions each of these techniques introduces ambiguities like its parameter dependence we show however that all these methods can be tuned to each other over a broad range of filtering levels and that they reveal very similar topological structures for these common structures we find an interesting powerlaw relating the number and packing fraction of clusters of filtered topological charge
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710.0481
Confinement: $G_2$ group case
The gauge group being centreless, $G_2$ gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in Yang-Mills gauge theories. In this paper, we investigate $G_2$ pure gauge theory at finite temperature on the lattice. By studying the finite size scaling of the plaquette, the Polyakov loop and their susceptibilities, we show that a deconfinement phase transition takes place. The analysis of the pseudocritical exponents give strong evidence of the deconfinement transition being first order. Implications of our findings for scenarios of colour confinement are discussed.
hep-lat
the gauge group being centreless g_2 gauge theory is a good laboratory for studying the role of the centre of the group for colour confinement in yangmills gauge theories in this paper we investigate g_2 pure gauge theory at finite temperature on the lattice by studying the finite size scaling of the plaquette the polyakov loop and their susceptibilities we show that a deconfinement phase transition takes place the analysis of the pseudocritical exponents give strong evidence of the deconfinement transition being first order implications of our findings for scenarios of colour confinement are discussed
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710.0482
Conserving GW scheme for nonequilibrium quantum transport in molecular contacts
We give a detailed presentation of our recent scheme to include correlation effects in molecular transport calculations using the GW approximation within the non-equilibrium Keldysh formalism. We restrict the GW self-energy to the central region, and describe the leads by density functional theory (DFT). A minimal basis of maximally localized Wannier functions is applied both in the central GW region and the leads. The importance of using a conserving, i.e. fully self-consistent, GW self-energy is demonstrated both analytically and by numerical examples. We introduce an effective spin-dependent interaction which automatically reduces self-interaction errors to all orders in the interaction. The scheme is applied to the Anderson model in- and out of equilibrium. In equilibrium at zero temperature we find that GW describes the Kondo resonance fairly well for intermediate interaction strengths. Out of equilibrium we demonstrate that the one-shot G0W0 approximation can produce severe errors, in particular at high bias. Finally, we consider a benzene molecule between featureless leads. It is found that the molecule's HOMO-LUMO gap as calculated in GW is significantly reduced as the coupling to the leads is increased, reflecting the more efficient screening in the strongly coupled junction. For the IV characteristics of the junction we find that HF and G0W0[G_HF] yield results closer to GW than does DFT and G0W0[G_DFT]. This is explained in terms of self-interaction effects and life-time reduction due to electron-electron interactions.
cond-mat.mtrl-sci cond-mat.mes-hall
we give a detailed presentation of our recent scheme to include correlation effects in molecular transport calculations using the gw approximation within the nonequilibrium keldysh formalism we restrict the gw selfenergy to the central region and describe the leads by density functional theory dft a minimal basis of maximally localized wannier functions is applied both in the central gw region and the leads the importance of using a conserving ie fully selfconsistent gw selfenergy is demonstrated both analytically and by numerical examples we introduce an effective spindependent interaction which automatically reduces selfinteraction errors to all orders in the interaction the scheme is applied to the anderson model in and out of equilibrium in equilibrium at zero temperature we find that gw describes the kondo resonance fairly well for intermediate interaction strengths out of equilibrium we demonstrate that the oneshot g0w0 approximation can produce severe errors in particular at high bias finally we consider a benzene molecule between featureless leads it is found that the molecules homolumo gap as calculated in gw is significantly reduced as the coupling to the leads is increased reflecting the more efficient screening in the strongly coupled junction for the iv characteristics of the junction we find that hf and g0w0g_hf yield results closer to gw than does dft and g0w0g_dft this is explained in terms of selfinteraction effects and lifetime reduction due to electronelectron interactions
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710.0483
Reduction for constrained variational problems on 3D null curves
We consider the optimal control problem for null curves in de Sitter 3-space defined by a functional which is linear in the curvature of the trajectory. We show how techniques based on the method of moving frames and exterior differential systems, coupled with the reduction procedure for systems with a Lie group of symmetries lead to the integration by quadratures of the extremals. Explicit solutions are found in terms of elliptic functions and integrals.
math.DG math-ph math.MP
we consider the optimal control problem for null curves in de sitter 3space defined by a functional which is linear in the curvature of the trajectory we show how techniques based on the method of moving frames and exterior differential systems coupled with the reduction procedure for systems with a lie group of symmetries lead to the integration by quadratures of the extremals explicit solutions are found in terms of elliptic functions and integrals
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710.0484
AGN feedback from Jet-ISM/IGM interactions
We study the propagation of relativistic jets originating from AGNs within the Interstellar/Intergalactic Medium of their host galaxies, and use it to build a model for the suppression of stellar formation within the expanding cocoon.
astro-ph
we study the propagation of relativistic jets originating from agns within the interstellarintergalactic medium of their host galaxies and use it to build a model for the suppression of stellar formation within the expanding cocoon
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710.0485
Prediction with expert advice for the Brier game
We show that the Brier game of prediction is mixable and find the optimal learning rate and substitution function for it. The resulting prediction algorithm is applied to predict results of football and tennis matches. The theoretical performance guarantee turns out to be rather tight on these data sets, especially in the case of the more extensive tennis data.
cs.LG
we show that the brier game of prediction is mixable and find the optimal learning rate and substitution function for it the resulting prediction algorithm is applied to predict results of football and tennis matches the theoretical performance guarantee turns out to be rather tight on these data sets especially in the case of the more extensive tennis data
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710.0486
Phase-Space Coalescence for heavy and light quarks at RHIC
We review the application and successes of a phase-space coalescence plus fragmentation model that has been applied for hadronization at RHIC. The physical concept is discussed together with the practical implementation. The robustness of main predictions is reviewed together with several open issues like relevance of three dimensional calculation, finite width of the wave functions, effects of quark masses, energy-entropy conservation, space-momentum correlation. Eventually the relevance of coalescence also for the study of the microscopic interaction of heavy quarks is highlighted.
nucl-th
we review the application and successes of a phasespace coalescence plus fragmentation model that has been applied for hadronization at rhic the physical concept is discussed together with the practical implementation the robustness of main predictions is reviewed together with several open issues like relevance of three dimensional calculation finite width of the wave functions effects of quark masses energyentropy conservation spacemomentum correlation eventually the relevance of coalescence also for the study of the microscopic interaction of heavy quarks is highlighted
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710.0487
Lattice supersymmetry in 1D with two supercharges
A consistent formulation of a fully supersymmetric theory on the lattice has been a long standing challenge. In recent years there has been a renewed interest on this problem with different approaches. At the basis of the formulation we present in the following there is the Dirac-Kahler twisting procedure, which was proposed in the continuum for a number of theories, including N=4 SUSY in four dimensions. Following the formalism developed in recent papers, an exact supersymmetric theory with two supercharges on a one dimensional lattice is realized using a matrix-based model. The matrix structure is obtained from the shift and clock matrices used in two dimensional non-commutative field theories. The matrix structure reproduces on a one dimensional lattice the expected modified Leibniz rule. Recent claims of inconsistency of the formalism are discussed and shown not to be relevant.
hep-lat
a consistent formulation of a fully supersymmetric theory on the lattice has been a long standing challenge in recent years there has been a renewed interest on this problem with different approaches at the basis of the formulation we present in the following there is the dirackahler twisting procedure which was proposed in the continuum for a number of theories including n4 susy in four dimensions following the formalism developed in recent papers an exact supersymmetric theory with two supercharges on a one dimensional lattice is realized using a matrixbased model the matrix structure is obtained from the shift and clock matrices used in two dimensional noncommutative field theories the matrix structure reproduces on a one dimensional lattice the expected modified leibniz rule recent claims of inconsistency of the formalism are discussed and shown not to be relevant
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710.0488
On the ratio of string tensions in the 3D Z_4 lattice gauge theory
It was recently pointed out that simple scaling properties of Polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of k-string tensions in the low temperature region is constant up to terms of order T^3. Here we argue that, at least in a three-dimensional Z_4 gauge model, the above ratios are constant in the whole confining phase. This result is obtained by combining numerical experiments with known exact results on the mass spectrum of an integrable two-dimensional spin model describing the infrared behaviour of the gauge system near the deconfining transition.
hep-lat hep-th
it was recently pointed out that simple scaling properties of polyakov correlation functions of gauge systems in the confining phase suggest that the ratios of kstring tensions in the low temperature region is constant up to terms of order t3 here we argue that at least in a threedimensional z_4 gauge model the above ratios are constant in the whole confining phase this result is obtained by combining numerical experiments with known exact results on the mass spectrum of an integrable twodimensional spin model describing the infrared behaviour of the gauge system near the deconfining transition
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710.0489
P- and D-wave spin-orbit splittings in heavy-light mesons
This is a summary of a detailed study of heavy-light meson excited state energies. Our lattice measurements include both radial and orbital excitations. Particular attention is paid to the spin-orbit splittings, to see which one of the states (for a given angular momentum L) has the lower energy. In nature the closest equivalent of this heavy-light system is the B_s meson, which allows us to compare our lattice calculations to experimental results (where available) or give a prediction where the excited states, particularly P-wave states, should lie.
hep-lat
this is a summary of a detailed study of heavylight meson excited state energies our lattice measurements include both radial and orbital excitations particular attention is paid to the spinorbit splittings to see which one of the states for a given angular momentum l has the lower energy in nature the closest equivalent of this heavylight system is the b_s meson which allows us to compare our lattice calculations to experimental results where available or give a prediction where the excited states particularly pwave states should lie
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710.049
Dynamics of galactic nuclei: Mass segregation and collisions
Massive black holes (MBHs) with a mass below ~ 1e7 Msun are likely to reside at the centre of dense stellar nuclei shaped by 2-body relaxation, close interactions with the MBH and direct collisions. In this contribution, we stress the role of mass segregation of stellar-mass black holes into the innermost tenths of a parsec and point to the importance of hydrodynamical collisions between stars. At the Galactic centre, collisions must affect giant stars and some of the S-stars.
astro-ph
massive black holes mbhs with a mass below 1e7 msun are likely to reside at the centre of dense stellar nuclei shaped by 2body relaxation close interactions with the mbh and direct collisions in this contribution we stress the role of mass segregation of stellarmass black holes into the innermost tenths of a parsec and point to the importance of hydrodynamical collisions between stars at the galactic centre collisions must affect giant stars and some of the sstars
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710.0491
Analysis of Linear Difference Schemes in the Sparse Grid Combination Technique
Sparse grids are tailored to the approximation of smooth high-dimensional functions. On a $d$-dimensional tensor product space, the number of grid points is $N = \mathcal O(h^{-1} |\log h|^{d-1})$, where $h$ is a mesh parameter. The so-called combination technique, based on hierarchical decomposition and extrapolation, requires specific multivariate error expansions of the discretisation error on Cartesian grids to hold. We derive such error expansions for linear difference schemes through an error correction technique of semi-discretisations. We obtain overall error formulae of the type $\epsilon = \mathcal{O} (h^p |\log h|^{d-1})$ and analyse the convergence, with its dependence on dimension and smoothness, by examples of linear elliptic and parabolic problems, with numerical illustrations in up to eight dimensions.
math.NA
sparse grids are tailored to the approximation of smooth highdimensional functions on a ddimensional tensor product space the number of grid points is n mathcal oh1 log hd1 where h is a mesh parameter the socalled combination technique based on hierarchical decomposition and extrapolation requires specific multivariate error expansions of the discretisation error on cartesian grids to hold we derive such error expansions for linear difference schemes through an error correction technique of semidiscretisations we obtain overall error formulae of the type epsilon mathcalo hp log hd1 and analyse the convergence with its dependence on dimension and smoothness by examples of linear elliptic and parabolic problems with numerical illustrations in up to eight dimensions
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710.0492
On the second Paneitz-Branson invariant
We define the second Paneitz-Branson operator on a compact Einsteinian manifold of dimension $n\geq 5$ and we give sufficient conditions that make it attained.
math.DG math.AP
we define the second paneitzbranson operator on a compact einsteinian manifold of dimension ngeq 5 and we give sufficient conditions that make it attained
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710.0493
Planar trees, free nonassociative algebras, invariants, and elliptic integrals
We consider absolutely free nonassociative algebras and, more generally, absolutely free algebras with (maybe infinitely) many multilinear operations. Such algebras are described in terms of labeled reduced planar rooted trees. This allows to apply combinatorial techniques to study their Hilbert series and the asymptotics of their coefficients. These algebras satisfy the Nielsen-Schreier property and their subalgebras are also free. Then, over a field of characteristic 0, we investigate the subalgebras of invariants under the action of a linear group, their sets of free generators and their Hilbert series. It has turned out that, except in the trivial cases, the algebra of invariants is never finitely generated. In important partial cases the Hilbert series of the algebras of invariants and the generating functions of their sets of free generators are expressed in terms of elliptic integrals.
math.RA math.CO
we consider absolutely free nonassociative algebras and more generally absolutely free algebras with maybe infinitely many multilinear operations such algebras are described in terms of labeled reduced planar rooted trees this allows to apply combinatorial techniques to study their hilbert series and the asymptotics of their coefficients these algebras satisfy the nielsenschreier property and their subalgebras are also free then over a field of characteristic 0 we investigate the subalgebras of invariants under the action of a linear group their sets of free generators and their hilbert series it has turned out that except in the trivial cases the algebra of invariants is never finitely generated in important partial cases the hilbert series of the algebras of invariants and the generating functions of their sets of free generators are expressed in terms of elliptic integrals
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710.0494
The z=0.8 precursors of today's bulges
We study the color structure of disk galaxies in the Groth strip at redshifts 0.1<z<1.2. Our aim is to test formation models in which bulges form before/after the disk. We find smooth color distributions with gentle outward blueing across the galaxy image: bulges are not distinctly redder than their disks; and bulge colors strongly correlate with global colors. The results suggest a roughly coeval evolution of bulges and disks. About 50% of the nuclei of galaxies with central light excesses above the outer exponential profile hold passively evolving red populations. The remainder 50% are galaxies with central blue colors similar to their disks. They may be bulges in formation, or the central parts of disks with non-exponential surface brightness profiles.
astro-ph
we study the color structure of disk galaxies in the groth strip at redshifts 01z12 our aim is to test formation models in which bulges form beforeafter the disk we find smooth color distributions with gentle outward blueing across the galaxy image bulges are not distinctly redder than their disks and bulge colors strongly correlate with global colors the results suggest a roughly coeval evolution of bulges and disks about 50 of the nuclei of galaxies with central light excesses above the outer exponential profile hold passively evolving red populations the remainder 50 are galaxies with central blue colors similar to their disks they may be bulges in formation or the central parts of disks with nonexponential surface brightness profiles
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710.0495
Lineshape distortion in a nonlinear auto-oscillator near generation threshold: Application to spin-torque nano-oscillators
The lineshape in an auto-oscillator with a large nonlinear frequency shift in the presence of thermal noise is calculated. Near the generation threshold, this lineshape becomes strongly non-Lorentzian, broadened, and asymmetric. A Lorentzian lineshape is recovered far below and far above threshold, which suggests that lineshape distortions provide a signature of the generation threshold. The theory developed adequately describes the observed behavior of a strongly nonlinear spin-torque nano-oscillator.
cond-mat.mtrl-sci
the lineshape in an autooscillator with a large nonlinear frequency shift in the presence of thermal noise is calculated near the generation threshold this lineshape becomes strongly nonlorentzian broadened and asymmetric a lorentzian lineshape is recovered far below and far above threshold which suggests that lineshape distortions provide a signature of the generation threshold the theory developed adequately describes the observed behavior of a strongly nonlinear spintorque nanooscillator
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710.0496
Microscopic mechanisms of spin-dependent electric polarization in 3d oxides
We address a systematic microscopic theory of spin-dependent electric polarization in 3d oxides starting with a generic three-site two-hole cluster. A perturbation scheme realistic for 3d oxides is applied which implies the quenching of orbital moments by low-symmetry crystal field, strong intra-atomic correlations, the dp-transfer effects, and rather small spin-orbital coupling. An effective spin operator of the electric dipole moment is deduced incorporating both nonrelativistic and relativistic terms. The nonrelativistic electronic polarization mechanism related with the effects of the redistribution of the local on-site charge density due to $pd$ covalency and exchange coupling is believed to govern the multiferroic behaviour in 3d oxides. The relativistic exchange-dipole moment is mainly stems from the nonrelativistic one due to the perturbation effect of Dzyaloshinsky-Moriya coupling and is estimated to be a weak contributor to the electric polarization observed in the most of 3d multiferroics.
cond-mat.str-el cond-mat.mtrl-sci
we address a systematic microscopic theory of spindependent electric polarization in 3d oxides starting with a generic threesite twohole cluster a perturbation scheme realistic for 3d oxides is applied which implies the quenching of orbital moments by lowsymmetry crystal field strong intraatomic correlations the dptransfer effects and rather small spinorbital coupling an effective spin operator of the electric dipole moment is deduced incorporating both nonrelativistic and relativistic terms the nonrelativistic electronic polarization mechanism related with the effects of the redistribution of the local onsite charge density due to pd covalency and exchange coupling is believed to govern the multiferroic behaviour in 3d oxides the relativistic exchangedipole moment is mainly stems from the nonrelativistic one due to the perturbation effect of dzyaloshinskymoriya coupling and is estimated to be a weak contributor to the electric polarization observed in the most of 3d multiferroics
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710.0497
A Joint Search for Gravitational Wave Bursts with AURIGA and LIGO
The first simultaneous operation of the AURIGA detector and the LIGO observatory was an opportunity to explore real data, joint analysis methods between two very different types of gravitational wave detectors: resonant bars and interferometers. This paper describes a coincident gravitational wave burst search, where data from the LIGO interferometers are cross-correlated at the time of AURIGA candidate events to identify coherent transients. The analysis pipeline is tuned with two thresholds, on the signal-to-noise ratio of AURIGA candidate events and on the significance of the cross-correlation test in LIGO. The false alarm rate is estimated by introducing time shifts between data sets and the network detection efficiency is measured with simulated signals with power in the narrower AURIGA band. In the absence of a detection, we discuss how to set an upper limit on the rate of gravitational waves and to interpret it according to different source models. Due to the short amount of analyzed data and to the high rate of non-Gaussian transients in the detectors noise at the time, the relevance of this study is methodological: this was the first joint search for gravitational wave bursts among detectors with such different spectral sensitivity and the first opportunity for the resonant and interferometric communities to unify languages and techniques in the pursuit of their common goal.
gr-qc
the first simultaneous operation of the auriga detector and the ligo observatory was an opportunity to explore real data joint analysis methods between two very different types of gravitational wave detectors resonant bars and interferometers this paper describes a coincident gravitational wave burst search where data from the ligo interferometers are crosscorrelated at the time of auriga candidate events to identify coherent transients the analysis pipeline is tuned with two thresholds on the signaltonoise ratio of auriga candidate events and on the significance of the crosscorrelation test in ligo the false alarm rate is estimated by introducing time shifts between data sets and the network detection efficiency is measured with simulated signals with power in the narrower auriga band in the absence of a detection we discuss how to set an upper limit on the rate of gravitational waves and to interpret it according to different source models due to the short amount of analyzed data and to the high rate of nongaussian transients in the detectors noise at the time the relevance of this study is methodological this was the first joint search for gravitational wave bursts among detectors with such different spectral sensitivity and the first opportunity for the resonant and interferometric communities to unify languages and techniques in the pursuit of their common goal
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710.0498
Screening at finite temperature and density
We present lattice QCD results on heavy quark free energies, extract from its temperature dependence entropy and internal energy contributions, and discuss the onset of medium effects that lead to screening of static quark-antiquark sources in a thermal medium. Most results are obtained in (2+1)-flavour QCD on a line of constant physics with almost realistic quark masses and compared to previous results from 2-flavor QCD as well as pure gauge theory. Furthermore, we discuss results on the density dependence of screening masses that have been obtained using a leading order Taylor expansion in the baryon chemical potential.
hep-lat hep-ph
we present lattice qcd results on heavy quark free energies extract from its temperature dependence entropy and internal energy contributions and discuss the onset of medium effects that lead to screening of static quarkantiquark sources in a thermal medium most results are obtained in 21flavour qcd on a line of constant physics with almost realistic quark masses and compared to previous results from 2flavor qcd as well as pure gauge theory furthermore we discuss results on the density dependence of screening masses that have been obtained using a leading order taylor expansion in the baryon chemical potential
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710.0499
A silicate disk in the heart of the Ant
We aim at getting high spatial resolution information on the dusty core of bipolar planetary nebulae to directly constrain the shaping process. Methods: We present observations of the dusty core of the extreme bipolar planetary nebula Menzel 3 (Mz 3, Hen 2-154, the Ant) taken with the mid-infrared interferometer MIDI/VLTI and the adaptive optics NACO/VLT. The core of Mz 3 is clearly resolved with MIDI in the interferometric mode, whereas it is unresolved from the Ks to the N bands with single dish 8.2 m observations on a scale ranging from 60 to 250 mas. A striking dependence of the dust core size with the PA angle of the baselines is observed, that is highly suggestive of an edge-on disk whose major axis is perpendicular to the axis of the bipolar lobes. The MIDI spectrum and the visibilities of Mz 3 exhibit a clear signature of amorphous silicate, in contrast to the signatures of crystalline silicates detected in binary post-AGB systems, suggesting that the disk might be relatively young. We used radiative-transfer Monte Carlo simulations of a passive disk to constrain its geometrical and physical parameters. Its inclination (74 degrees $\pm$ 3 degrees) and position angle (5 degrees $\pm$ 5 degrees) are in accordance with the values derived from the study of the lobes. The inner radius is 9$\pm$ 1 AU and the disk is relatively flat. The dust mass stored in the disk, estimated as 1 x 10-5Msun, represents only a small fraction of the dust mass found in the lobes and might be a kind of relic of an essentially polar ejection process.
astro-ph
we aim at getting high spatial resolution information on the dusty core of bipolar planetary nebulae to directly constrain the shaping process methods we present observations of the dusty core of the extreme bipolar planetary nebula menzel 3 mz 3 hen 2154 the ant taken with the midinfrared interferometer midivlti and the adaptive optics nacovlt the core of mz 3 is clearly resolved with midi in the interferometric mode whereas it is unresolved from the ks to the n bands with single dish 82 m observations on a scale ranging from 60 to 250 mas a striking dependence of the dust core size with the pa angle of the baselines is observed that is highly suggestive of an edgeon disk whose major axis is perpendicular to the axis of the bipolar lobes the midi spectrum and the visibilities of mz 3 exhibit a clear signature of amorphous silicate in contrast to the signatures of crystalline silicates detected in binary postagb systems suggesting that the disk might be relatively young we used radiativetransfer monte carlo simulations of a passive disk to constrain its geometrical and physical parameters its inclination 74 degrees pm 3 degrees and position angle 5 degrees pm 5 degrees are in accordance with the values derived from the study of the lobes the inner radius is 9pm 1 au and the disk is relatively flat the dust mass stored in the disk estimated as 1 x 105msun represents only a small fraction of the dust mass found in the lobes and might be a kind of relic of an essentially polar ejection process
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710.05
Infrared problem and spatially local observables in electrodynamics
An algebra previously proposed as an asymptotic field structure in electrodynamics is considered in respect of localization properties of fields. Fields are 'spatially local' -- localized in regions resulting as unions of two intersecting (solid) lightcones: a future- and a past-lightcone. This localization remains in concord with the usual idealizations connected with the scattering theory. Fields thus localized naturally include infrared characteristics normally placed at spacelike infinity and form a structure respecting Gauss law. When applied to the description of the radiation of an external classical current the model is free of 'infrared catastrophe'.
hep-th math-ph math.MP
an algebra previously proposed as an asymptotic field structure in electrodynamics is considered in respect of localization properties of fields fields are spatially local localized in regions resulting as unions of two intersecting solid lightcones a future and a pastlightcone this localization remains in concord with the usual idealizations connected with the scattering theory fields thus localized naturally include infrared characteristics normally placed at spacelike infinity and form a structure respecting gauss law when applied to the description of the radiation of an external classical current the model is free of infrared catastrophe
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710.0501
Form factors of boundary fields for A(2)-affine Toda field theory
In this paper we carry out the boundary form factor program for the A(2)-affine Toda field theory at the self-dual point. The latter is an integrable model consisting of a pair of particles which are conjugated to each other and possessing two bound states resulting from the scattering processes 1 +1 -> 2 and 2+2-> 1. We obtain solutions up to four particle form factors for two families of fields which can be identified with spinless and spin-1 fields of the bulk theory. Previously known as well as new bulk form factor solutions are obtained as a particular limit of ours. Minimal solutions of the boundary form factor equations for all A(n)-affine Toda field theories are given, which will serve as starting point for a generalisation of our results to higher rank algebras.
hep-th
in this paper we carry out the boundary form factor program for the a2affine toda field theory at the selfdual point the latter is an integrable model consisting of a pair of particles which are conjugated to each other and possessing two bound states resulting from the scattering processes 1 1 2 and 22 1 we obtain solutions up to four particle form factors for two families of fields which can be identified with spinless and spin1 fields of the bulk theory previously known as well as new bulk form factor solutions are obtained as a particular limit of ours minimal solutions of the boundary form factor equations for all anaffine toda field theories are given which will serve as starting point for a generalisation of our results to higher rank algebras
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710.0502
Dynamical resonances and SSF singularities for a magnetic Schroedinger operator
We consider the Hamiltonian $H$ of a 3D spinless non-relativistic quantum particle subject to parallel constant magnetic and non-constant electric field. The operator $H$ has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum. We perturb $H$ by appropriate scalar potentials $V$ and investigate the transformation of these embedded eigenvalues into resonances. First, we assume that the electric potentials are dilation-analytic with respect to the variable along the magnetic field, and obtain an asymptotic expansion of the resonances as the coupling constant $\varkappa$ of the perturbation tends to zero. Further, under the assumption that the Fermi Golden Rule holds true, we deduce estimates for the time evolution of the resonance states with and without analyticity assumptions; in the second case we obtain these results as a corollary of suitable Mourre estimates and a recent article of Cattaneo, Graf and Hunziker \cite{cgh}. Next, we describe sets of perturbations $V$ for which the Fermi Golden Rule is valid at each embedded eigenvalue of $H$; these sets turn out to be dense in various suitable topologies. Finally, we assume that $V$ decays fast enough at infinity and is of definite sign, introduce the Krein spectral shift function for the operator pair $(H+V, H)$, and study its singularities at the energies which coincide with eigenvalues of infinite multiplicity of the unperturbed operator $H$.
math.SP
we consider the hamiltonian h of a 3d spinless nonrelativistic quantum particle subject to parallel constant magnetic and nonconstant electric field the operator h has infinitely many eigenvalues of infinite multiplicity embedded in its continuous spectrum we perturb h by appropriate scalar potentials v and investigate the transformation of these embedded eigenvalues into resonances first we assume that the electric potentials are dilationanalytic with respect to the variable along the magnetic field and obtain an asymptotic expansion of the resonances as the coupling constant varkappa of the perturbation tends to zero further under the assumption that the fermi golden rule holds true we deduce estimates for the time evolution of the resonance states with and without analyticity assumptions in the second case we obtain these results as a corollary of suitable mourre estimates and a recent article of cattaneo graf and hunziker citecgh next we describe sets of perturbations v for which the fermi golden rule is valid at each embedded eigenvalue of h these sets turn out to be dense in various suitable topologies finally we assume that v decays fast enough at infinity and is of definite sign introduce the krein spectral shift function for the operator pair hv h and study its singularities at the energies which coincide with eigenvalues of infinite multiplicity of the unperturbed operator h
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710.0503
Unified Approach to the Large-Signal and High-Frequency Theory of $p-n$-Junctions
Spectral approach to the charge carrier transport in $p-n$-junctions has allowed us to revise the theoretical results relating to large signal operation of the junction to make them valid for both the low and high frequencies ranges. The spectral composition of the external circuit current includes both the DC and AC components. The former produces the static current--voltage characteristic with the modified Bessel function of zeroth order, $I_0(\beta V_\sim)$, while the latter yields the dynamic admittance with the modified Bessel function of first order, $I_1(\beta V_\sim)$, either of them depend on the signal amplitude. Our experimental results are consistent with the theoretical ones if a fitting parameter allowing for recombination processes in the depletion layer is taken into account.
cond-mat.mtrl-sci
spectral approach to the charge carrier transport in pnjunctions has allowed us to revise the theoretical results relating to large signal operation of the junction to make them valid for both the low and high frequencies ranges the spectral composition of the external circuit current includes both the dc and ac components the former produces the static currentvoltage characteristic with the modified bessel function of zeroth order i_0beta v_sim while the latter yields the dynamic admittance with the modified bessel function of first order i_1beta v_sim either of them depend on the signal amplitude our experimental results are consistent with the theoretical ones if a fitting parameter allowing for recombination processes in the depletion layer is taken into account
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710.0504
Wilson Loop in Classical Lattice Gauge Theory and the Thermal Width of Heavy Quarkonium
We present an estimate for the imaginary part of the recently introduced finite temperature real-time static potential. It can be extracted from the time evolution of the Wilson loop in classical lattice gauge theory. The real-time static potential determines, through a Schroedinger-type equation and a subsequent Fourier-transform of its solution, the spectral function of heavy quarkonium in finite-temperature QCD. We also compare the results of the classical simulations with those of Hard Thermal Loop improved simulations, as well as with analytic expectations based on resummed perturbation theory.
hep-lat
we present an estimate for the imaginary part of the recently introduced finite temperature realtime static potential it can be extracted from the time evolution of the wilson loop in classical lattice gauge theory the realtime static potential determines through a schroedingertype equation and a subsequent fouriertransform of its solution the spectral function of heavy quarkonium in finitetemperature qcd we also compare the results of the classical simulations with those of hard thermal loop improved simulations as well as with analytic expectations based on resummed perturbation theory
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710.0505
1/N Expansion of the 2D CP^{N-1} Model on Non(anti)commutative Superspace
We study UV properties of the two-dimensional supersymmetric CP^{N-1} model on non(anti)commutative superspace. We show that the deformed model has the same UV property as the ordinary model in the leading order of 1/N and the deformation give rise to UV divergence which cannot be dealt with in the next-to-leading order.
hep-th
we study uv properties of the twodimensional supersymmetric cpn1 model on nonanticommutative superspace we show that the deformed model has the same uv property as the ordinary model in the leading order of 1n and the deformation give rise to uv divergence which cannot be dealt with in the nexttoleading order
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710.0506
Spitzer View of Lyman Break Galaxies
Using a combination of deep MID-IR observations obtained by IRAC, MIPS and IRS on board Spitzer we investigate the MID-IR properties of Lyman Break Galaxies (LBGs) at z~3, establish a better understanding of their nature and attempt a complete characterisation of the population. With deep mid-infrared and optical observations of ~1000 LBGs covered by IRAC/MIPS and from the ground respectively, we extend the spectral energy distributions (SEDs) of the LBGs to mid-infrared. Spitzer data reveal for the first time that the mid-infrared properties of the population are inhomogeneous ranging from those with marginal IRAC detections to those with bright rest-frame near-infrared colors and those detected at 24mu MIPS band revealing the newly discovered population of the Infrared Luminous Lyman Break Galaxies (ILLBGs). To investigate this diversity, we examine the photometric properties of the population and we use stellar population synthesis models to probe the stellar content of these galaxies. We find that a fraction of LBGs have very red colors and large estimated stellar masses M* > 5x10^10Mo. We discuss the link between these LBGs and submm-luminous galaxies and we report the detection of rest frame 6.2 and 7.7mu emission features arising from Polycyclic Aromatic Hydrocarbons (PAH) in the Spitzer/IRS spectrum of an infrared-luminous Lyman break galaxy at z=3.01.
astro-ph
using a combination of deep midir observations obtained by irac mips and irs on board spitzer we investigate the midir properties of lyman break galaxies lbgs at z3 establish a better understanding of their nature and attempt a complete characterisation of the population with deep midinfrared and optical observations of 1000 lbgs covered by iracmips and from the ground respectively we extend the spectral energy distributions seds of the lbgs to midinfrared spitzer data reveal for the first time that the midinfrared properties of the population are inhomogeneous ranging from those with marginal irac detections to those with bright restframe nearinfrared colors and those detected at 24mu mips band revealing the newly discovered population of the infrared luminous lyman break galaxies illbgs to investigate this diversity we examine the photometric properties of the population and we use stellar population synthesis models to probe the stellar content of these galaxies we find that a fraction of lbgs have very red colors and large estimated stellar masses m 5x1010mo we discuss the link between these lbgs and submmluminous galaxies and we report the detection of rest frame 62 and 77mu emission features arising from polycyclic aromatic hydrocarbons pah in the spitzerirs spectrum of an infraredluminous lyman break galaxy at z301
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710.0507
Results related to generalizations of Hilbert's non-immersibility theorem for the hyperbolic plane
We discuss generalizations of the well-known theorem of Hilbert that there is no complete isometric immersion of the hyperbolic plane into Euclidean 3-space. We show that this problem is expressed very naturally as the question of the existence of certain homotheties of reflective submanifolds of a symmetric space. As such, we conclude that the only other (non-compact) cases to which this theorem could generalize are the problem of isometric immersions with flat normal bundle of the hyperbolic space $H^n$ into a Euclidean space $E^{n+k}$, $n \geq 2$, and the problem of Lagrangian isometric immersions of $H^n$ into $\cc^n$, $n \geq 2$. Moreover, there are natural compact counterparts to these problems, and for the compact cases we prove that the theorem does in fact generalize: local embeddings exist, but complete immersions do not.
math.DG
we discuss generalizations of the wellknown theorem of hilbert that there is no complete isometric immersion of the hyperbolic plane into euclidean 3space we show that this problem is expressed very naturally as the question of the existence of certain homotheties of reflective submanifolds of a symmetric space as such we conclude that the only other noncompact cases to which this theorem could generalize are the problem of isometric immersions with flat normal bundle of the hyperbolic space hn into a euclidean space enk n geq 2 and the problem of lagrangian isometric immersions of hn into ccn n geq 2 moreover there are natural compact counterparts to these problems and for the compact cases we prove that the theorem does in fact generalize local embeddings exist but complete immersions do not
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710.0508
Structured variable selection in support vector machines
When applying the support vector machine (SVM) to high-dimensional classification problems, we often impose a sparse structure in the SVM to eliminate the influences of the irrelevant predictors. The lasso and other variable selection techniques have been successfully used in the SVM to perform automatic variable selection. In some problems, there is a natural hierarchical structure among the variables. Thus, in order to have an interpretable SVM classifier, it is important to respect the heredity principle when enforcing the sparsity in the SVM. Many variable selection methods, however, do not respect the heredity principle. In this paper we enforce both sparsity and the heredity principle in the SVM by using the so-called structured variable selection (SVS) framework originally proposed in Yuan, Joseph and Zou (2007). We minimize the empirical hinge loss under a set of linear inequality constraints and a lasso-type penalty. The solution always obeys the desired heredity principle and enjoys sparsity. The new SVM classifier can be efficiently fitted, because the optimization problem is a linear program. Another contribution of this work is to present a nonparametric extension of the SVS framework, and we propose nonparametric heredity SVMs. Simulated and real data are used to illustrate the merits of the proposed method.
stat.ML math.ST stat.TH
when applying the support vector machine svm to highdimensional classification problems we often impose a sparse structure in the svm to eliminate the influences of the irrelevant predictors the lasso and other variable selection techniques have been successfully used in the svm to perform automatic variable selection in some problems there is a natural hierarchical structure among the variables thus in order to have an interpretable svm classifier it is important to respect the heredity principle when enforcing the sparsity in the svm many variable selection methods however do not respect the heredity principle in this paper we enforce both sparsity and the heredity principle in the svm by using the socalled structured variable selection svs framework originally proposed in yuan joseph and zou 2007 we minimize the empirical hinge loss under a set of linear inequality constraints and a lassotype penalty the solution always obeys the desired heredity principle and enjoys sparsity the new svm classifier can be efficiently fitted because the optimization problem is a linear program another contribution of this work is to present a nonparametric extension of the svs framework and we propose nonparametric heredity svms simulated and real data are used to illustrate the merits of the proposed method
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710.0509
Techniques on mesh generation for the brain shift simulation
Neurosurgery interventions involve complex tracking systems because a tissue deformation takesplace. The neuronavigation system relies only on preoperative images. In order to overcome the soft tissue deformations and guarantee the accuracy of the navigation a biomechanical model can be used during surgery to simulate the deformation of the brain. Therefore, a mesh generation for an optimal real-time Finite Element Model (FEM) becomes crucial. In this work we present different alternatives from a meshgeneration point of view that were evaluated to optimize the process in terms of elements quantity and quality as well as constraints of a intraoperative application and patient specific data.
physics.med-ph
neurosurgery interventions involve complex tracking systems because a tissue deformation takesplace the neuronavigation system relies only on preoperative images in order to overcome the soft tissue deformations and guarantee the accuracy of the navigation a biomechanical model can be used during surgery to simulate the deformation of the brain therefore a mesh generation for an optimal realtime finite element model fem becomes crucial in this work we present different alternatives from a meshgeneration point of view that were evaluated to optimize the process in terms of elements quantity and quality as well as constraints of a intraoperative application and patient specific data
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710.051
Q-adic Transform revisited
We present an algorithm to perform a simultaneous modular reduction of several residues. This algorithm is applied fast modular polynomial multiplication. The idea is to convert the $X$-adic representation of modular polynomials, with $X$ an indeterminate, to a $q$-adic representation where $q$ is an integer larger than the field characteristic. With some control on the different involved sizes it is then possible to perform some of the $q$-adic arithmetic directly with machine integers or floating points. Depending also on the number of performed numerical operations one can then convert back to the $q$-adic or $X$-adic representation and eventually mod out high residues. In this note we present a new version of both conversions: more tabulations and a way to reduce the number of divisions involved in the process are presented. The polynomial multiplication is then applied to arithmetic in small finite field extensions.
cs.SC
we present an algorithm to perform a simultaneous modular reduction of several residues this algorithm is applied fast modular polynomial multiplication the idea is to convert the xadic representation of modular polynomials with x an indeterminate to a qadic representation where q is an integer larger than the field characteristic with some control on the different involved sizes it is then possible to perform some of the qadic arithmetic directly with machine integers or floating points depending also on the number of performed numerical operations one can then convert back to the qadic or xadic representation and eventually mod out high residues in this note we present a new version of both conversions more tabulations and a way to reduce the number of divisions involved in the process are presented the polynomial multiplication is then applied to arithmetic in small finite field extensions
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710.0511
Constraints on exact Lagrangians in cotangent bundles of manifolds fibred over the circle
We give topological obstructions to the existence of a closed exact Lagrangian submanifold in the cotangent bundle of a closed manifold M which is the total space of a fibration over the circle. For instance we show that the fundamental group of such a Lagrangian submanifold cannot be the free product of two non-trivial groups and that in any finite presentation of this group the difference between the number of generators and the number of relations is less than two.
math.SG math.DG
we give topological obstructions to the existence of a closed exact lagrangian submanifold in the cotangent bundle of a closed manifold m which is the total space of a fibration over the circle for instance we show that the fundamental group of such a lagrangian submanifold cannot be the free product of two nontrivial groups and that in any finite presentation of this group the difference between the number of generators and the number of relations is less than two
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710.0512
Strong coupling expansion for Yang-Mills theory at finite temperature
Euclidean strong coupling expansion of the partition function is applied to lattice Yang-Mills theory at finite temperature, i.e. for lattices with a compactified temporal direction. The expansions have a finite radius of convergence and thus are valid only for $\beta<\beta_c$, where $\beta_c$ denotes the nearest singularity of the free energy on the real axis. The accessible temperature range is thus the confined regime up to the deconfinement transition. We have calculated the first few orders of these expansions of the free energy density as well as the screening masses for the gauge groups SU(2) and SU(3). The resulting free energy series can be summed up and corresponds to a glueball gas of the lowest mass glueballs up to the calculated order. Our result can be used to fix the lower integration constant for Monte Carlo calculations of the thermodynamic pressure via the integral method, and shows from first principles that in the confined phase this constant is indeed exponentially small. Similarly, our results also explain the weak temperature dependence of glueball screening masses below $T_c$, as observed in Monte Carlo simulations. Possibilities and difficulties in extracting $\beta_c$ from the series are discussed.
hep-lat
euclidean strong coupling expansion of the partition function is applied to lattice yangmills theory at finite temperature ie for lattices with a compactified temporal direction the expansions have a finite radius of convergence and thus are valid only for betabeta_c where beta_c denotes the nearest singularity of the free energy on the real axis the accessible temperature range is thus the confined regime up to the deconfinement transition we have calculated the first few orders of these expansions of the free energy density as well as the screening masses for the gauge groups su2 and su3 the resulting free energy series can be summed up and corresponds to a glueball gas of the lowest mass glueballs up to the calculated order our result can be used to fix the lower integration constant for monte carlo calculations of the thermodynamic pressure via the integral method and shows from first principles that in the confined phase this constant is indeed exponentially small similarly our results also explain the weak temperature dependence of glueball screening masses below t_c as observed in monte carlo simulations possibilities and difficulties in extracting beta_c from the series are discussed
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710.0513
Heisenberg model of the high-energy hadron collision in terms of chiral fields
Properties of chiral Born-Infeld Theory proposed as the model for shock-wave fireball production in the hadron-hadron collisions was studied. The role of the shock-waves in the multi-particle production was discussed.
hep-ph
properties of chiral borninfeld theory proposed as the model for shockwave fireball production in the hadronhadron collisions was studied the role of the shockwaves in the multiparticle production was discussed
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710.0514
Miller's instability, microchaos and the short-term evolution of initially nearby orbits
We study the phase-space behaviour of nearby trajectories in integrable potentials. We show that the separation of nearby orbits initially diverges very fast, mimicking a nearly exponential behaviour, while at late times it grows linearly. This initial exponential phase, known as Miller's instability, is commonly found in N-body simulations, and has been attributed to short-term (microscopic) N-body chaos. However we show here analytically that the initial divergence is simply due to the shape of an orbit in phase-space. This result confirms previous suspicions that this transient phenomenon is not related to an instability in the sense of non-integrable behaviour in the dynamics of N-body systems.
astro-ph
we study the phasespace behaviour of nearby trajectories in integrable potentials we show that the separation of nearby orbits initially diverges very fast mimicking a nearly exponential behaviour while at late times it grows linearly this initial exponential phase known as millers instability is commonly found in nbody simulations and has been attributed to shortterm microscopic nbody chaos however we show here analytically that the initial divergence is simply due to the shape of an orbit in phasespace this result confirms previous suspicions that this transient phenomenon is not related to an instability in the sense of nonintegrable behaviour in the dynamics of nbody systems
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710.0515
Poynting's theorem and energy conservation in the propagation of light in bounded media
Starting from the Maxwell-Lorentz equations, Poynting's theorem is reconsidered. The energy flux vector is introduced as S_e=(E x B)/mu_0 instead of E x H, because only by this choice the energy dissipation can be related to the balance of the kinetic energy of the matter subsystem. Conservation of the total energy as the sum of kinetic and electromagnetic energy follows. In our discussion, media and their microscopic nature are represented exactly by their susceptibility functions, which do not necessarily have to be known. On this footing, it can be shown that energy conservation in the propagation of light through bounded media is ensured by Maxwell's boundary conditions alone, even for some frequently used approximations. This is demonstrated for approaches using additional boundary conditions and the dielectric approximation in detail, the latter of which suspected to violate energy conservation for decades.
cond-mat.str-el physics.optics
starting from the maxwelllorentz equations poyntings theorem is reconsidered the energy flux vector is introduced as s_ee x bmu_0 instead of e x h because only by this choice the energy dissipation can be related to the balance of the kinetic energy of the matter subsystem conservation of the total energy as the sum of kinetic and electromagnetic energy follows in our discussion media and their microscopic nature are represented exactly by their susceptibility functions which do not necessarily have to be known on this footing it can be shown that energy conservation in the propagation of light through bounded media is ensured by maxwells boundary conditions alone even for some frequently used approximations this is demonstrated for approaches using additional boundary conditions and the dielectric approximation in detail the latter of which suspected to violate energy conservation for decades
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710.0516
Essential curves in handlebodies and topological contractions
If $X$ is a compact set, a {\it topological contraction} is a self-embedding $f$ such that the intersection of the successive images $f^k(X)$, $k>0$, consists of one point. In dimension 3, we prove that there are smooth topological contractions of the handlebodies of genus $\geq 2$ whose image is essential. Our proof is based on an easy criterion for a simple curve to be essential in a handlebody.
math.GT
if x is a compact set a it topological contraction is a selfembedding f such that the intersection of the successive images fkx k0 consists of one point in dimension 3 we prove that there are smooth topological contractions of the handlebodies of genus geq 2 whose image is essential our proof is based on an easy criterion for a simple curve to be essential in a handlebody
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710.0517
The notion of persistence applied to breathers in thermal equilibrium
We study the thermal equilibrium of nonlinear Klein-Gordon chains at the limit of small coupling (anticontinuum limit). We show that the persistence distribution associated to the local energy density is a useful tool to study the statistical distribution of so-called thermal breathers, mainly when the equilibrium is characterized by long-lived static excitations; in that case, the distribution of persistence intervals turns out to be a powerlaw. We demonstrate also that this generic behaviour has a counterpart in the power spectra, where the high frequencies domains nicely collapse if properly rescaled. These results are also compared to non linear Klein-Gordon chains with a soft nonlinearity, for which the thermal breathers are rather mobile entities. Finally, we discuss the possibility of a breather-induced anomalous diffusion law, and show that despite a strong slowing-down of the energy diffusion, there are numerical evidences for a normal asymptotic diffusion mechanism, but with exceptionnally small diffusion coefficients.
cond-mat.stat-mech
we study the thermal equilibrium of nonlinear kleingordon chains at the limit of small coupling anticontinuum limit we show that the persistence distribution associated to the local energy density is a useful tool to study the statistical distribution of socalled thermal breathers mainly when the equilibrium is characterized by longlived static excitations in that case the distribution of persistence intervals turns out to be a powerlaw we demonstrate also that this generic behaviour has a counterpart in the power spectra where the high frequencies domains nicely collapse if properly rescaled these results are also compared to non linear kleingordon chains with a soft nonlinearity for which the thermal breathers are rather mobile entities finally we discuss the possibility of a breatherinduced anomalous diffusion law and show that despite a strong slowingdown of the energy diffusion there are numerical evidences for a normal asymptotic diffusion mechanism but with exceptionnally small diffusion coefficients
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710.0518
Self-directed growth of AlGaAs core-shell nanowires for visible light applications
Al(0.37)Ga(0.63)As nanowires (NWs) were grown in a molecular beam epitaxy system on GaAs(111)B substrates. Micro-photoluminescence measurements and energy dispersive X-ray spectroscopy indicated a core-shell structure and Al composition gradient along the NW axis, producing a potential minimum for carrier confinement. The core-shell structure formed during the growth as a consequence of the different Al and Ga adatom diffusion lengths.
cond-mat.mtrl-sci
al037ga063as nanowires nws were grown in a molecular beam epitaxy system on gaas111b substrates microphotoluminescence measurements and energy dispersive xray spectroscopy indicated a coreshell structure and al composition gradient along the nw axis producing a potential minimum for carrier confinement the coreshell structure formed during the growth as a consequence of the different al and ga adatom diffusion lengths
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710.0519
Differential Invariants of Conformal and Projective Surfaces
We show that, for both the conformal and projective groups, all the differential invariants of a generic surface in three-dimensional space can be written as combinations of the invariant derivatives of a single differential invariant. The proof is based on the equivariant method of moving frames.
math.DG math-ph math.MP
we show that for both the conformal and projective groups all the differential invariants of a generic surface in threedimensional space can be written as combinations of the invariant derivatives of a single differential invariant the proof is based on the equivariant method of moving frames
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710.052
Mining the Local Volume
After recent systematic optical, IR, and HI surveys, the total number of known galaxies within 10 Mpc has increased from 179 to 550. About half this Local Volume (LV) sample is now been imaged with HST, yielding the galaxy distances with an accuracy of about 8%. For the majority of the LV galaxies we currently have H-alpha fluxes that allow us to reconstruct the star formation history of our neighbourhood. For the late-type LV galaxies their HI masses and angular momentum follow the linear relation in the range of 4 orders, which is expected for rotating gaseous disks being near the gravitational instability threshold. The data obtained on the LV galaxies imply important cosmological parameters, in particular, the mean local matter density and HI mass density, as well as SFR density. Surprisingly, the local Hubble flow around the LV groups is very quiet, with 1D rms deviations of 25 km/s,which is a signature of the Universe vacuum-dominated on small scales. The cold infall pattern around nearby groups provides us with a new method to determine the total mass of the groups independent from virial mass estimates.
astro-ph
after recent systematic optical ir and hi surveys the total number of known galaxies within 10 mpc has increased from 179 to 550 about half this local volume lv sample is now been imaged with hst yielding the galaxy distances with an accuracy of about 8 for the majority of the lv galaxies we currently have halpha fluxes that allow us to reconstruct the star formation history of our neighbourhood for the latetype lv galaxies their hi masses and angular momentum follow the linear relation in the range of 4 orders which is expected for rotating gaseous disks being near the gravitational instability threshold the data obtained on the lv galaxies imply important cosmological parameters in particular the mean local matter density and hi mass density as well as sfr density surprisingly the local hubble flow around the lv groups is very quiet with 1d rms deviations of 25 kmswhich is a signature of the universe vacuumdominated on small scales the cold infall pattern around nearby groups provides us with a new method to determine the total mass of the groups independent from virial mass estimates
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710.0521
Kinetic Equationins in the Theory of Normal Fermi Liquid
On the bases of the improved approximation for the spectral function of one-particle states the Landau-Silin kinetic equations for the normal Fermi liquids of neutral and electrically charged particles are shown to be valid at finite temperature above the temperature of superfluid transition.
cond-mat.stat-mech
on the bases of the improved approximation for the spectral function of oneparticle states the landausilin kinetic equations for the normal fermi liquids of neutral and electrically charged particles are shown to be valid at finite temperature above the temperature of superfluid transition
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710.0522
Localization and delocalization of ultracold bosonic atoms in finite optical lattices
We study bosonic atoms in small optical lattices by exact diagonalization and observe a striking similarity to the superfluid to Mott insulator transition in macroscopic systems. The momentum distribution, the formation of an energy gap, and the pair correlation function show only a weak size dependence. For noncommensurate filling we reveal in deep lattices a mixture of localized and delocalized particles, which is sensitive to lattice imperfections. Breaking the lattice symmetry causes a Bose-glass-like behavior. We discuss the nature of excited states and orbital effects by using an exact diagonalization technique that includes higher bands.
cond-mat.other
we study bosonic atoms in small optical lattices by exact diagonalization and observe a striking similarity to the superfluid to mott insulator transition in macroscopic systems the momentum distribution the formation of an energy gap and the pair correlation function show only a weak size dependence for noncommensurate filling we reveal in deep lattices a mixture of localized and delocalized particles which is sensitive to lattice imperfections breaking the lattice symmetry causes a boseglasslike behavior we discuss the nature of excited states and orbital effects by using an exact diagonalization technique that includes higher bands
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710.0523
Fluctuation theorem applied to Dictyostelium discoideum system
In this paper, we analyze the electrotactic movement of Dictyostelium discoideum from the viewpoint of non-equilibrium statistical mechanics. Because we can observe fluctuating behavior of cellular trajectories, we analyze the probability distribution of the trajectories with the aid of the fluctuation theorem. Recently, the validity of the fluctuation theorem was verified in a colloidal system, and it has also been applied to granular systems, turbulent systems and chemical oscillatory waves to investigate some of their statistical properties that are not yet completely understood. Noting that the fluctuation theorem is potentially applicable to cellular electrotaxis, here we employ it to help us obtain a phenomenological model of this biological system.
q-bio.CB cond-mat.soft cond-mat.stat-mech
in this paper we analyze the electrotactic movement of dictyostelium discoideum from the viewpoint of nonequilibrium statistical mechanics because we can observe fluctuating behavior of cellular trajectories we analyze the probability distribution of the trajectories with the aid of the fluctuation theorem recently the validity of the fluctuation theorem was verified in a colloidal system and it has also been applied to granular systems turbulent systems and chemical oscillatory waves to investigate some of their statistical properties that are not yet completely understood noting that the fluctuation theorem is potentially applicable to cellular electrotaxis here we employ it to help us obtain a phenomenological model of this biological system
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710.0524
Raman spectra of unfilled and filled carbon nanotubes: Theory
The Raman spectra of two G-bands and a radial breathing mode (RBM) of unfilled and filled single-wall semiconducting and metallic carbon nanotubes have been investigated theoretically, in the presence of electron-phonon and phonon-phonon interactions. Excitation of low frequency optical plasmons in the metallic nanotube is responsible for the peak known as the Breit-Wigner-Fano (BWF) line shape in the G-band Raman spectra. In a filled nanotube there is an additional peak due to excitation of the phonon of the filling atom or molecule. Positions, shapes and relative strengths of these Raman peaks depend on the phonon frequencies of the nanotube and that of the filling atoms, and strengths and forms of the plasmon-phonon and phonon-phonon interactions. For example, filling atoms with phonon frequency close to the RBM frequency of the nanotube may broaden and lower the RBM Raman peak to such an extent that it may become barely visible. Hybridization between the G-bands and the filling atom phonon is also strong when these two frequencies are close to each other and it has important effects on the G-band and the BWF line shapes. When the phonon frequency of the filling atom is far from the RBM and G-band frequencies, it gives rise to a separate peak with modest effects on the RBM and G-band spectra. Raman spectra of semiconducting unfilled and filled nanotubes have similar behavior as those of metallic nanotubes except that normally they have Lorentzian line shapes and do not show a BWF line shape. However, if a semiconducting nanotube is filled with donor atoms, it is predicted that the BWF type line shape may be observed near the RBM, or the G-band or the filling atom Raman peak.
cond-mat.other
the raman spectra of two gbands and a radial breathing mode rbm of unfilled and filled singlewall semiconducting and metallic carbon nanotubes have been investigated theoretically in the presence of electronphonon and phononphonon interactions excitation of low frequency optical plasmons in the metallic nanotube is responsible for the peak known as the breitwignerfano bwf line shape in the gband raman spectra in a filled nanotube there is an additional peak due to excitation of the phonon of the filling atom or molecule positions shapes and relative strengths of these raman peaks depend on the phonon frequencies of the nanotube and that of the filling atoms and strengths and forms of the plasmonphonon and phononphonon interactions for example filling atoms with phonon frequency close to the rbm frequency of the nanotube may broaden and lower the rbm raman peak to such an extent that it may become barely visible hybridization between the gbands and the filling atom phonon is also strong when these two frequencies are close to each other and it has important effects on the gband and the bwf line shapes when the phonon frequency of the filling atom is far from the rbm and gband frequencies it gives rise to a separate peak with modest effects on the rbm and gband spectra raman spectra of semiconducting unfilled and filled nanotubes have similar behavior as those of metallic nanotubes except that normally they have lorentzian line shapes and do not show a bwf line shape however if a semiconducting nanotube is filled with donor atoms it is predicted that the bwf type line shape may be observed near the rbm or the gband or the filling atom raman peak
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710.0525
Hunting long-lived gluinos at the Pierre Auger Observatory
Eventual signals of split sypersymmetry in cosmic ray physics are analyzed in detail. The study focusses particularly on quasi-stable colorless R-hadrons originating through confinement of long-lived gluinos (with quarks, anti-quarks, and gluons) produced in pp collisions at astrophysical sources. Because of parton density requirements, the gluino has a momentum which is considerable smaller than the energy of the primary proton, and so production of heavy (mass ~ 500 GeV) R-hadrons requires powerful cosmic ray engines able to accelerate particles up to extreme energies, somewhat above 10^{13.6} GeV. Using a realistic Monte Carlo simulation with the AIRES engine, we study the main characteristics of the air showers triggered when one of these exotic hadrons impinges on a stationary nucleon of the Earth atmosphere. We show that R-hadron air showers present clear differences with respect to those initiated by standard particles. We use this shower characteristics to construct observables which may be used to distinguish long-lived gluinos at the Pierre Auger Observatory.
hep-ph
eventual signals of split sypersymmetry in cosmic ray physics are analyzed in detail the study focusses particularly on quasistable colorless rhadrons originating through confinement of longlived gluinos with quarks antiquarks and gluons produced in pp collisions at astrophysical sources because of parton density requirements the gluino has a momentum which is considerable smaller than the energy of the primary proton and so production of heavy mass 500 gev rhadrons requires powerful cosmic ray engines able to accelerate particles up to extreme energies somewhat above 10136 gev using a realistic monte carlo simulation with the aires engine we study the main characteristics of the air showers triggered when one of these exotic hadrons impinges on a stationary nucleon of the earth atmosphere we show that rhadron air showers present clear differences with respect to those initiated by standard particles we use this shower characteristics to construct observables which may be used to distinguish longlived gluinos at the pierre auger observatory
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710.0526
H^\pm W^\mp production in the MSSM at the LHC
We investigate the viability of observing charged Higgs bosons (H^\pm) produced in association with W bosons at the CERN Large Hadron Collider, using the leptonic decay H^+ -> tau^+ nu_tau and hadronic W decay, within the Minimal Supersymmetric Standard Model. Performing a parton level study we show how the irreducible Standard Model background from W + 2 jets can be controlled by applying appropriate cuts. In the standard m_h^max scenario we find a viable signal for large tan beta and intermediate H^\pm masses (~ m_t).
hep-ph
we investigate the viability of observing charged higgs bosons hpm produced in association with w bosons at the cern large hadron collider using the leptonic decay h tau nu_tau and hadronic w decay within the minimal supersymmetric standard model performing a parton level study we show how the irreducible standard model background from w 2 jets can be controlled by applying appropriate cuts in the standard m_hmax scenario we find a viable signal for large tan beta and intermediate hpm masses m_t
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710.0527
The ANTARES detector: background sources and effects on detector performance
The ANTARES Collaboration is deploying a large neutrino detector at a depth of 2475 m in the Mediterranean Sea, 40 km off shore from La Seyne-sur-Mer in South France. The construction of this 12-line detector with 75 phototubes per line will be completed early 2008. Data taking has begun since April 2005 with an instrumentation line also equipped with optical modules. The first 5 detector lines are operational since January 2007. The telescope is aimed to observe high energy cosmic neutrinos through the detection of the Cerenkov light produced by up-going induced muons. Background sources are due to atmospheric neutrinos as well as misreconstructed atmospheric muons. Additional backgrounds inherent to the sea water environment come from 40K decay and marine organisms' luminescence. While the contribution of the former is expected to be constant at a level of about 45 kHz, the bioluminescence has shown large time variations, with periods of very high activity, up to several hundred kHz. Description of these background sources will be reported, and effects on detector performance will be described. Methods recently developed to improve the detection efficiency in high background periods will be described, together with some of the results obtained.
astro-ph
the antares collaboration is deploying a large neutrino detector at a depth of 2475 m in the mediterranean sea 40 km off shore from la seynesurmer in south france the construction of this 12line detector with 75 phototubes per line will be completed early 2008 data taking has begun since april 2005 with an instrumentation line also equipped with optical modules the first 5 detector lines are operational since january 2007 the telescope is aimed to observe high energy cosmic neutrinos through the detection of the cerenkov light produced by upgoing induced muons background sources are due to atmospheric neutrinos as well as misreconstructed atmospheric muons additional backgrounds inherent to the sea water environment come from 40k decay and marine organisms luminescence while the contribution of the former is expected to be constant at a level of about 45 khz the bioluminescence has shown large time variations with periods of very high activity up to several hundred khz description of these background sources will be reported and effects on detector performance will be described methods recently developed to improve the detection efficiency in high background periods will be described together with some of the results obtained
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710.0528
On the interaction between sharing and linearity
In the analysis of logic programs, abstract domains for detecting sharing and linearity information are widely used. Devising abstract unification algorithms for such domains has proved to be rather hard. At the moment, the available algorithms are correct but not optimal, i.e., they cannot fully exploit the information conveyed by the abstract domains. In this paper, we define a new (infinite) domain ShLin-w which can be thought of as a general framework from which other domains can be easily derived by abstraction. ShLin-w makes the interaction between sharing and linearity explicit. We provide a constructive characterization of the optimal abstract unification operator on ShLin-w and we lift it to two well-known abstractions of ShLin-w. Namely, to the classical Sharing X Lin abstract domain and to the more precise ShLin-2 abstract domain by Andy King. In the case of single binding substitutions, we obtain optimal abstract unification algorithms for such domains. To appear in Theory and Practice of Logic Programming (TPLP).
cs.PL cs.LO
in the analysis of logic programs abstract domains for detecting sharing and linearity information are widely used devising abstract unification algorithms for such domains has proved to be rather hard at the moment the available algorithms are correct but not optimal ie they cannot fully exploit the information conveyed by the abstract domains in this paper we define a new infinite domain shlinw which can be thought of as a general framework from which other domains can be easily derived by abstraction shlinw makes the interaction between sharing and linearity explicit we provide a constructive characterization of the optimal abstract unification operator on shlinw and we lift it to two wellknown abstractions of shlinw namely to the classical sharing x lin abstract domain and to the more precise shlin2 abstract domain by andy king in the case of single binding substitutions we obtain optimal abstract unification algorithms for such domains to appear in theory and practice of logic programming tplp
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710.0529
Cu-Au type orderings in the staggered quadrupolar region of the fcc Blume Emery Griffiths model
The spin-1 Ising (BEG) model has been simulated using a cellular automaton (CA) algorithm improved from the Creutz cellular automaton (CCA) for a face-centered cubic (fcc) lattice. The ground state diagram ($k$, $d$) of the fcc BEG model has ferromagnetic ($F$), quadrupolar ($Q$) and staggered quadrupolar ($SQ$) ordering regions. The simulations have been made in the staggered quadrupolar region for the parameter values in the intervals $ -24\leq d=D/J<0$ and $-3\leq k=K/J\leq 0$ . The phase diagrams on the ($ kT_{C}/J$, $d$) and the ($kT_{C}/J$, $k$) planes have been obtained through $ k=-3$ and $d=-4$ lines, respectively. The staggered quadrupolar ordering region separates into five ordering regions ($A_{3}B(a)$, $A_{3}B(f)$, $AB$ (type-I), $AB$(type-II) and $AB_{3}(f)$) which have the different stoichiometric Cu-Au type structures.
cond-mat.stat-mech
the spin1 ising beg model has been simulated using a cellular automaton ca algorithm improved from the creutz cellular automaton cca for a facecentered cubic fcc lattice the ground state diagram k d of the fcc beg model has ferromagnetic f quadrupolar q and staggered quadrupolar sq ordering regions the simulations have been made in the staggered quadrupolar region for the parameter values in the intervals 24leq ddj0 and 3leq kkjleq 0 the phase diagrams on the kt_cj d and the kt_cj k planes have been obtained through k3 and d4 lines respectively the staggered quadrupolar ordering region separates into five ordering regions a_3ba a_3bf ab typei abtypeii and ab_3f which have the different stoichiometric cuau type structures
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710.053
Parametrizing the lepton mixing matrix in terms of deviations from tri-bimaximal mixing
We propose a parametrization of the lepton mixing matrix in terms of an expansion in powers of the deviations of the reactor, solar and atmospheric mixing angles from their tri-bimaximal values. We show that unitarity triangles and neutrino oscillation formulae have a very compact form when expressed in this parametrization, resulting in considerable simplifications when dealing with neutrino phenomenology. The parametrization, which is completely general, should help to establish possible relations between the deviations of the reactor, solar and atmospheric mixing angles from their tri-bimaximal values, and hence enable models which predict such relations to be more directly compared to experiment.
hep-ph
we propose a parametrization of the lepton mixing matrix in terms of an expansion in powers of the deviations of the reactor solar and atmospheric mixing angles from their tribimaximal values we show that unitarity triangles and neutrino oscillation formulae have a very compact form when expressed in this parametrization resulting in considerable simplifications when dealing with neutrino phenomenology the parametrization which is completely general should help to establish possible relations between the deviations of the reactor solar and atmospheric mixing angles from their tribimaximal values and hence enable models which predict such relations to be more directly compared to experiment
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710.0531
The Problem of Localization in Networks of Randomly Deployed Nodes: Asymptotic and Finite Analysis, and Thresholds
We derive the probability that a randomly chosen NL-node over $S$ gets localized as a function of a variety of parameters. Then, we derive the probability that the whole network of NL-nodes over $S$ gets localized. In connection with the asymptotic thresholds, we show the presence of asymptotic thresholds on the network localization probability in two different scenarios. The first refers to dense networks, which arise when the domain $S$ is bounded and the densities of the two kinds of nodes tend to grow unboundedly. The second kind of thresholds manifest themselves when the considered domain increases but the number of nodes grow in such a way that the L-node density remains constant throughout the investigated domain. In this scenario, what matters is the minimum value of the maximum transmission range averaged over the fading process, denoted as $d_{max}$, above which the network of NL-nodes almost surely gets asymptotically localized.
cs.DM cs.IT cs.NI math.IT
we derive the probability that a randomly chosen nlnode over s gets localized as a function of a variety of parameters then we derive the probability that the whole network of nlnodes over s gets localized in connection with the asymptotic thresholds we show the presence of asymptotic thresholds on the network localization probability in two different scenarios the first refers to dense networks which arise when the domain s is bounded and the densities of the two kinds of nodes tend to grow unboundedly the second kind of thresholds manifest themselves when the considered domain increases but the number of nodes grow in such a way that the lnode density remains constant throughout the investigated domain in this scenario what matters is the minimum value of the maximum transmission range averaged over the fading process denoted as d_max above which the network of nlnodes almost surely gets asymptotically localized
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710.0532
Harmonic oscillator model for current- and field-driven magnetic vortices
In experiments the distinction between spin-torque and Oersted-field driven magnetization dynamics is still an open problem. Here, the gyroscopic motion of current- and field-driven magnetic vortices in small thin-film elements is investigated by analytical calculations and by numerical simulations. It is found that for small harmonic excitations the vortex core performs an elliptical rotation around its equilibrium position. The global phase of the rotation and the ratio between the semi-axes are determined by the frequency and the amplitude of the Oersted field and the spin torque.
cond-mat.other
in experiments the distinction between spintorque and oerstedfield driven magnetization dynamics is still an open problem here the gyroscopic motion of current and fielddriven magnetic vortices in small thinfilm elements is investigated by analytical calculations and by numerical simulations it is found that for small harmonic excitations the vortex core performs an elliptical rotation around its equilibrium position the global phase of the rotation and the ratio between the semiaxes are determined by the frequency and the amplitude of the oersted field and the spin torque
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710.0533
Preliminary results on the homogenization of thin piezoelectric perforated shells
We consider a composite piezoelectric material whose reference configuration is a thin shell with fixed thickness. In this work, we give a new approach based on the periodic unfolding method to justify the modelling of a thin piezoelectric perforated shells and we establish the limit constitutive law by letting the size of holes is supposed to go to zero. This allows to use the homogenization technique to derive the limitting equations and the homogenizaed coefficients are explicity described.
math.NA math.AP
we consider a composite piezoelectric material whose reference configuration is a thin shell with fixed thickness in this work we give a new approach based on the periodic unfolding method to justify the modelling of a thin piezoelectric perforated shells and we establish the limit constitutive law by letting the size of holes is supposed to go to zero this allows to use the homogenization technique to derive the limitting equations and the homogenizaed coefficients are explicity described
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710.0534
On the chemical freeze-out criteria in a hot and dense fireball
Intensive investigations of freeze-out criteria in a hot and dense fireball provide important information regarding particle emission from the fireball. A systematic comparison of these proposals is presented here in the framework of a thermodynamically consistent excluded volume model which has been found to describe the properties of hadron gas (HG) quite well. We find that the impact of excluded volume correction is considerably large and the average energy per hadron is 0.9 GeV, $n_b+n_{\bar b}$ stays nearly constant at 0.12/fm$^3$ and the normalized entropy density $s/T^3\approx 6$ in this model. Moreover, these values are independent of the beam or center-of-mass energy and also of the target and beam nuclei. In ideal HG model these quantities show substantial energy dependence. Further we have compared the predictions of various excluded volume models in the precise determination of these criteria and we find that the thermodynamically consistent excluded volume models give the best results. In addition, we find another important criterion that entropy per hadron has a constant value at 6 in our model. We hope that these findings will throw considerable light on the expansion dynamics and the bulk thermodynamic properties of the fireball before chemical freeze-out.
hep-ph
intensive investigations of freezeout criteria in a hot and dense fireball provide important information regarding particle emission from the fireball a systematic comparison of these proposals is presented here in the framework of a thermodynamically consistent excluded volume model which has been found to describe the properties of hadron gas hg quite well we find that the impact of excluded volume correction is considerably large and the average energy per hadron is 09 gev n_bn_bar b stays nearly constant at 012fm3 and the normalized entropy density st3approx 6 in this model moreover these values are independent of the beam or centerofmass energy and also of the target and beam nuclei in ideal hg model these quantities show substantial energy dependence further we have compared the predictions of various excluded volume models in the precise determination of these criteria and we find that the thermodynamically consistent excluded volume models give the best results in addition we find another important criterion that entropy per hadron has a constant value at 6 in our model we hope that these findings will throw considerable light on the expansion dynamics and the bulk thermodynamic properties of the fireball before chemical freezeout
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710.0535
Antiferromagnetic order driven by the molecular orbital order of C$_{60}$ in $\alpha'$--tetra--$kis$--(dimethylamino)--ethylene--C$_{60}$
We have studied the ground state of a fullerene--based magnet, the $\alpha'$--phase tetra--$kis$--(dimethylamino)--ethylene--C$_{60}$ ($\alpha'$--TDAE--C$_{60}$), by electron spin resonance (ESR) and magnetic torque measurements. Below T$_N=7$ K, non--paramagnetic field dependent resonances with a finite excitation gap (1.7 GHz) are observed along the $a$--axis. Strong enhancement in their intensity as temperature is decreased is inconsistent with excitation from a singlet state, which had been proposed for the $\alpha'$--phase ground state. Below T$_N$, non--quadratic field dependence of magnetic torque signal is also observed in contrast to quadratic field dependence in the paramagnetic phase. The angle--dependent torque signals below T$_N$ indicate the existence of an anisotropy of the bulk magnetization. From both experiments, we propose an antiferromagnetic ground state driven by the cooperative orientational ordering of C$_{60}$ in the $\alpha'$--TDAE--C$_{60}$.
cond-mat.mtrl-sci cond-mat.str-el
we have studied the ground state of a fullerenebased magnet the alphaphase tetrakisdimethylaminoethylenec_60 alphatdaec_60 by electron spin resonance esr and magnetic torque measurements below t_n7 k nonparamagnetic field dependent resonances with a finite excitation gap 17 ghz are observed along the aaxis strong enhancement in their intensity as temperature is decreased is inconsistent with excitation from a singlet state which had been proposed for the alphaphase ground state below t_n nonquadratic field dependence of magnetic torque signal is also observed in contrast to quadratic field dependence in the paramagnetic phase the angledependent torque signals below t_n indicate the existence of an anisotropy of the bulk magnetization from both experiments we propose an antiferromagnetic ground state driven by the cooperative orientational ordering of c_60 in the alphatdaec_60
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710.0536
Chiral Limit and Light Quark Masses in 2+1 Flavor Domain Wall QCD
We present results for meson masses and decay constants measured on 24^3x64 lattices using the domain wall fermion formulation with an extension of the fifth dimension of L_s=16 for N_f=2+1 dynamical quark flavors. The lightest dynamical meson mass in our set-up is around 331 MeV, while partially quenched mesons reach masses as low as 250 MeV. The applicability of SU(3)xSU(3) and SU(2)xSU(2) (partially quenched) chiral perturbation theory will be compared and we quote values for the low-energy constants from both approaches. We will extract the average light quark and strange quark masses and use a non-perturbative renormalization technique (RI/MOM) to quote their physical values. The pion and kaon decay constants are determined at those values from our chiral fits and their ratio is used to obtain the CKM-matrix element |V_us|. The results presented here include statistical errors only.
hep-lat
we present results for meson masses and decay constants measured on 243x64 lattices using the domain wall fermion formulation with an extension of the fifth dimension of l_s16 for n_f21 dynamical quark flavors the lightest dynamical meson mass in our setup is around 331 mev while partially quenched mesons reach masses as low as 250 mev the applicability of su3xsu3 and su2xsu2 partially quenched chiral perturbation theory will be compared and we quote values for the lowenergy constants from both approaches we will extract the average light quark and strange quark masses and use a nonperturbative renormalization technique rimom to quote their physical values the pion and kaon decay constants are determined at those values from our chiral fits and their ratio is used to obtain the ckmmatrix element v_us the results presented here include statistical errors only
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710.0537
Dispersion Law of the Form $\epsilon(p)=\hbar^2p^2/2m +\widetilde V(p)-\widetilde V(0)$ for Elementary Excitations of Nonideal Fermi Gas in the Pair Interaction Approximation $(i\leftrightarrow j)$, $V(|x_i-x_j|)$
We give a derivation of the dispersion law $\epsilon(p)=\hbar^2p^2/2m +\widetilde V(p)-\widetilde V(0)$, where $\widetilde V(p)$ is the Fourier transform of the pair interaction potential $V(r)$. (The interaction between particles $x_i$ and $x_j$ is $V(|x_i-x_j|)$.)
math-ph math.MP
we give a derivation of the dispersion law epsilonphbar2p22m widetilde vpwidetilde v0 where widetilde vp is the fourier transform of the pair interaction potential vr the interaction between particles x_i and x_j is vx_ix_j
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710.0538
Gap theory of rectification in ballistic three-terminal conductors
We introduce a model for rectification in three-terminal ballistic conductors, where the central connecting node is modeled as a chaotic cavity. For bias voltages comparable to the Fermi energy, a strong nonlinearity is created by the opening of a gap in the transport window. Both noninteracting cavity electrons at arbitrary temperature as well as the hot electron regime are considered. Charging effects are treated within the transmission formalism using a self-consistent analysis. The conductance of the third lead in a voltage probe configuration is varied to also model inelastic effects. We find that the basic transport features are insensitive to all of these changes, indicating that the nonlinearity is robust and well suited to applications such as current rectification in ballistic systems. Our findings are in broad agreement with several recent experiments.
cond-mat.mes-hall
we introduce a model for rectification in threeterminal ballistic conductors where the central connecting node is modeled as a chaotic cavity for bias voltages comparable to the fermi energy a strong nonlinearity is created by the opening of a gap in the transport window both noninteracting cavity electrons at arbitrary temperature as well as the hot electron regime are considered charging effects are treated within the transmission formalism using a selfconsistent analysis the conductance of the third lead in a voltage probe configuration is varied to also model inelastic effects we find that the basic transport features are insensitive to all of these changes indicating that the nonlinearity is robust and well suited to applications such as current rectification in ballistic systems our findings are in broad agreement with several recent experiments
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710.0539
A Novel Solution to the ATT48 Benchmark Problem
A solution to the benchmark ATT48 Traveling Salesman Problem (from the TSPLIB95 library) results from isolating the set of vertices into ten open-ended zones with nine lengthwise boundaries. In each zone, a minimum-length Hamiltonian Path (HP) is found for each combination of boundary vertices, leading to an approximation for the minimum-length Hamiltonian Cycle (HC). Determination of the optimal HPs for subsequent zones has the effect of automatically filtering out non-optimal HPs from earlier zones. Although the optimal HC for ATT48 involves only two crossing edges between all zones (with one exception), adding inter-zone edges can accommodate more complex problems.
cs.DS cs.CC
a solution to the benchmark att48 traveling salesman problem from the tsplib95 library results from isolating the set of vertices into ten openended zones with nine lengthwise boundaries in each zone a minimumlength hamiltonian path hp is found for each combination of boundary vertices leading to an approximation for the minimumlength hamiltonian cycle hc determination of the optimal hps for subsequent zones has the effect of automatically filtering out nonoptimal hps from earlier zones although the optimal hc for att48 involves only two crossing edges between all zones with one exception adding interzone edges can accommodate more complex problems
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710.054
A disc in the heart of the Ant nebula
We present the discovery of a silicate disc at the centre of the planetary nebula Mz3 (the Ant). The nebula was observed with MIDI on the Very Large Telescope Interferometer (VLTI). The visibilities obtained at different orientations clearly indicate the presence of a dusty, nearly edge-on disc in the heart of the nebula. An amorphous silicate absorption feature is clearly seen in our mid-IR spectrum and visibility curves. We used radiative transfer Monte Carlo simulations to constrain the geometrical and physical parameters of the disc. We derive an inner radius of 9 AU (~6mas assuming D=1.4kpc). This disc is perpendicular to, but a factor of 10^{3} smaller than the optical bipolar outflow.
astro-ph
we present the discovery of a silicate disc at the centre of the planetary nebula mz3 the ant the nebula was observed with midi on the very large telescope interferometer vlti the visibilities obtained at different orientations clearly indicate the presence of a dusty nearly edgeon disc in the heart of the nebula an amorphous silicate absorption feature is clearly seen in our midir spectrum and visibility curves we used radiative transfer monte carlo simulations to constrain the geometrical and physical parameters of the disc we derive an inner radius of 9 au 6mas assuming d14kpc this disc is perpendicular to but a factor of 103 smaller than the optical bipolar outflow
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710.0541
Chiral Analysis of the Generalized Form Factors of the Nucleon
We apply the methods of Chiral Perturbation Theory to the analysis of the first moments of the Generalized Parton Distributions in a Nucleon, usually known as generalized form factors. These quantities are currently also under investigation in Lattice QCD analyses of baryon structure, providing simulation results at large quark masses to be extrapolated to the "real world" via Chiral Effective Field Theory. We have performed a leading-one-loop calculation in the covariant framework of Baryon Chiral Perturbation Theory (BChPT), predicting both the momentum and the quark-mass dependence for all the vector and axial (generalized) form factors. In particular we discuss the results for the limit of vanishing four-momentum transfer where the GPD-moments reduce to the well known moments of Parton Distribution Functions (PDFs). We fit our results to available lattice QCD data, extrapolating down to the physical point. We conclude by presenting outstanding results from a combined fit to different GPDs-moments.
hep-lat hep-ph nucl-th
we apply the methods of chiral perturbation theory to the analysis of the first moments of the generalized parton distributions in a nucleon usually known as generalized form factors these quantities are currently also under investigation in lattice qcd analyses of baryon structure providing simulation results at large quark masses to be extrapolated to the real world via chiral effective field theory we have performed a leadingoneloop calculation in the covariant framework of baryon chiral perturbation theory bchpt predicting both the momentum and the quarkmass dependence for all the vector and axial generalized form factors in particular we discuss the results for the limit of vanishing fourmomentum transfer where the gpdmoments reduce to the well known moments of parton distribution functions pdfs we fit our results to available lattice qcd data extrapolating down to the physical point we conclude by presenting outstanding results from a combined fit to different gpdsmoments
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710.0542
Nuclear skin emergence in Skyrme deformed Hartree-Fock calculations
A study of the charge and matter densities and the corresponding rms radii for even-even isotopes of Ni, Kr, and Sn has been performed in the framework of deformed self-consistent mean field Skyrme HF+BCS method. The resulting charge radii and neutron skin thicknesses of these nuclei are compared with available experimental data, as well as with other theoretical predictions. The formation of a neutron skin, which manifests itself in an excess of neutrons at distances greater than the radius of the proton distribution, is analyzed in terms of various definitions. Formation of a proton skin is shown to be unlikely. The effects of deformation on the neutron skins in even-even deformed nuclei far from the stability line are discussed.
nucl-th
a study of the charge and matter densities and the corresponding rms radii for eveneven isotopes of ni kr and sn has been performed in the framework of deformed selfconsistent mean field skyrme hfbcs method the resulting charge radii and neutron skin thicknesses of these nuclei are compared with available experimental data as well as with other theoretical predictions the formation of a neutron skin which manifests itself in an excess of neutrons at distances greater than the radius of the proton distribution is analyzed in terms of various definitions formation of a proton skin is shown to be unlikely the effects of deformation on the neutron skins in eveneven deformed nuclei far from the stability line are discussed
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710.0543
Bounds on the Light Quark Masses: the scalar channel revisited
We evaluate lower bounds on the sum of the up and down quark masses. The bounds follow from the constraints provided by the dispersion relation obeyed by the two--point function of the scalar current density when combined with properties of the scalar spectral function at long--distances and perturbative QCD at short--distances. Our results point to values of $m_u+m_d$ somewhat higher than those reported recently in the literature using lattice QCD simulations.
hep-ph
we evaluate lower bounds on the sum of the up and down quark masses the bounds follow from the constraints provided by the dispersion relation obeyed by the twopoint function of the scalar current density when combined with properties of the scalar spectral function at longdistances and perturbative qcd at shortdistances our results point to values of m_um_d somewhat higher than those reported recently in the literature using lattice qcd simulations
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710.0544
Scalar-tensor analysis of an exponential Lagrangian for the Gravitational Field
Within the scheme of modified gravity, an exponential Lagrangian density will be considered, and the corresponding scalar-tensor description will be addressed for both positive and negative values of the cosmological constant. For negative values of the cosmological term, the potential of the scalar field exhibits a minimum, around which scalar-field equations can be linearized. The study of the deSitter regime shows that a comparison with the modified-gravity description is possible in an off-shell region, i.e., in a region where the classical equivalence between the two formulations is not fulfilled. Furthermore, despite the negative cosmological constant, an accelerating deSitter phase is predicted in the region where the series expansion of the exponential term does not hold. For positive values of the cosmological constant, the quantum regime is analyzed within the framework of Loop Quantum Cosmology.
gr-qc
within the scheme of modified gravity an exponential lagrangian density will be considered and the corresponding scalartensor description will be addressed for both positive and negative values of the cosmological constant for negative values of the cosmological term the potential of the scalar field exhibits a minimum around which scalarfield equations can be linearized the study of the desitter regime shows that a comparison with the modifiedgravity description is possible in an offshell region ie in a region where the classical equivalence between the two formulations is not fulfilled furthermore despite the negative cosmological constant an accelerating desitter phase is predicted in the region where the series expansion of the exponential term does not hold for positive values of the cosmological constant the quantum regime is analyzed within the framework of loop quantum cosmology
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710.0545
Synchrotron emission from secondary leptons in microquasar jets
We present a model to estimate the synchrotron radio emission generated in microquasar (MQ) jets due to secondary pairs created via decay of charged pions produced in proton-proton collisions between stellar wind ions and jet relativistic protons. Signatures of electrons/positrons are obtained from consistent particle energy distributions that take into account energy losses due to synchrotron and inverse Compton (IC) processes, as well as adiabatic expansion. The space parameter for the model is explored and the corresponding spectral energy distributions (SEDs) are presented. We conclude that secondary leptonic emission represents a significant though hardly dominant contribution to the total radio emission in MQs, with observational consequences that can be used to test some still unknown processes occurring in these objects as well as the nature of the matter outflowing in their jets.
astro-ph
we present a model to estimate the synchrotron radio emission generated in microquasar mq jets due to secondary pairs created via decay of charged pions produced in protonproton collisions between stellar wind ions and jet relativistic protons signatures of electronspositrons are obtained from consistent particle energy distributions that take into account energy losses due to synchrotron and inverse compton ic processes as well as adiabatic expansion the space parameter for the model is explored and the corresponding spectral energy distributions seds are presented we conclude that secondary leptonic emission represents a significant though hardly dominant contribution to the total radio emission in mqs with observational consequences that can be used to test some still unknown processes occurring in these objects as well as the nature of the matter outflowing in their jets
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710.0546
Surface Flows From Magnetograms
Estimates of velocities from time series of photospheric and/or chromospheric vector magnetograms can be used to determine fluxes of magnetic energy (the Poynting flux) and helicity across the magnetogram layer, and to provide time-dependent boundary conditions for data-driven simulations of the solar atmosphere above this layer. Velocity components perpendicular to the magnetic field are necessary both to compute these transport rates and to derive model boundary conditions. Here, we discuss some possible approaches to estimating perpendicular flows from magnetograms. Since Doppler shifts contain contributions from flows parallel to the magnetic field, perpendicular velocities are not generally recoverable from Doppler shifts alone. The induction equation's vertical component relates evolution in $B_z$ to the perpendicular flow field, but has a finite null space, meaning some ``null'' flows, e.g., motions along contours of normal field, do not affect $B_z$. Consequently, additional information is required to accurately specify the perpendicular flow field. Tracking methods, which analyze $\partial_t B_z$ in a neighborhood, have a long heritage, but other approaches have recently been developed. In a recent paper, several such techniques were tested using synthetic magnetograms from MHD simulations. Here, we use the same test data to characterize: 1) the ability of the induction equation's normal component, by itself, to estimate flows; and 2) a tracking method's ability to recover flow components that are perpendicular to $\mathbf{B}$ and parallel to contours of $B_z$. This work has been supported by NASA Heliophysics Theory grant NNG05G144G.
astro-ph
estimates of velocities from time series of photospheric andor chromospheric vector magnetograms can be used to determine fluxes of magnetic energy the poynting flux and helicity across the magnetogram layer and to provide timedependent boundary conditions for datadriven simulations of the solar atmosphere above this layer velocity components perpendicular to the magnetic field are necessary both to compute these transport rates and to derive model boundary conditions here we discuss some possible approaches to estimating perpendicular flows from magnetograms since doppler shifts contain contributions from flows parallel to the magnetic field perpendicular velocities are not generally recoverable from doppler shifts alone the induction equations vertical component relates evolution in b_z to the perpendicular flow field but has a finite null space meaning some null flows eg motions along contours of normal field do not affect b_z consequently additional information is required to accurately specify the perpendicular flow field tracking methods which analyze partial_t b_z in a neighborhood have a long heritage but other approaches have recently been developed in a recent paper several such techniques were tested using synthetic magnetograms from mhd simulations here we use the same test data to characterize 1 the ability of the induction equations normal component by itself to estimate flows and 2 a tracking methods ability to recover flow components that are perpendicular to mathbfb and parallel to contours of b_z this work has been supported by nasa heliophysics theory grant nng05g144g
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710.0547
Anatomy of a Young Massive Star Cluster: NGC 1569-B
We present new H-band echelle spectra, obtained with the NIRSPEC spectrograph at Keck II, for the massive star cluster "B" in the nearby dwarf irregular galaxy NGC 1569. From spectral synthesis and equivalent width measurements we obtain abundances and abundance patterns. We derive an Fe abundance of [Fe/H]=-0.63+/-0.08, a super-solar [alpha/Fe] abundance ratio of +0.31+/-0.09, and an O abundance of [O/H]=-0.29+/-0.07. We also measure a low 12C/13C = 5+/-1 isotopic ratio. Using archival imaging from the Advanced Camera for Surveys on board HST, we construct a colour-magnitude diagram (CMD) for the cluster in which we identify about 60 red supergiant (RSG) stars, consistent with the strong RSG features seen in the H-band spectrum. The mean effective temperature of these RSGs, derived from their observed colours and weighted by their estimated H-band luminosities, is 3790 K, in excellent agreement with our spectroscopic estimate of Teff = 3800+/-200 K. From the CMD we derive an age of 15-25 Myr, slightly older than previous estimates based on integrated broad-band colours. We derive a radial velocity of -78+/-3 km/s and a velocity dispersion of 9.6+/-0.3 km/s. In combination with an estimate of the half-light radius of 0.20"+/-0.05" from the HST data, this leads to a dynamical mass of (4.4+/-1.1)E5 Msun. The dynamical mass agrees very well with the mass predicted by simple stellar population models for a cluster of this age and luminosity, assuming a normal stellar IMF. The cluster core radius appears smaller at longer wavelengths, as has previously been found in other extragalactic young star clusters.
astro-ph
we present new hband echelle spectra obtained with the nirspec spectrograph at keck ii for the massive star cluster b in the nearby dwarf irregular galaxy ngc 1569 from spectral synthesis and equivalent width measurements we obtain abundances and abundance patterns we derive an fe abundance of feh063008 a supersolar alphafe abundance ratio of 031009 and an o abundance of oh029007 we also measure a low 12c13c 51 isotopic ratio using archival imaging from the advanced camera for surveys on board hst we construct a colourmagnitude diagram cmd for the cluster in which we identify about 60 red supergiant rsg stars consistent with the strong rsg features seen in the hband spectrum the mean effective temperature of these rsgs derived from their observed colours and weighted by their estimated hband luminosities is 3790 k in excellent agreement with our spectroscopic estimate of teff 3800200 k from the cmd we derive an age of 1525 myr slightly older than previous estimates based on integrated broadband colours we derive a radial velocity of 783 kms and a velocity dispersion of 9603 kms in combination with an estimate of the halflight radius of 020005 from the hst data this leads to a dynamical mass of 4411e5 msun the dynamical mass agrees very well with the mass predicted by simple stellar population models for a cluster of this age and luminosity assuming a normal stellar imf the cluster core radius appears smaller at longer wavelengths as has previously been found in other extragalactic young star clusters
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710.0548
Analyticity constraints on the strangeness changing vector current and applications to $\tau\to K\pi \nu_\tau$, $\tau\to K\pi\pi \nu_\tau$
We discuss matrix elements of the strangeness changing vector current using their relation, due to analyticity, with $\pi K$ scattering in the $P$-wave. We take into account experimental phase-shift measurements in the elastic channel as well as results, obtained by the LASS collaboration, on the details of inelastic scattering, which show the dominance of two quasi two-body channels at medium energies.The associated form factors are shown to be completely determined, up to one flavour symmetry breaking parameter, imposing boundary conditions at $t=0$ from chiral and flavour symmetries and at $t\to\infty$ from QCD. We apply the results to the $\tau\to K\pi \nu_\tau$ and $\tau\to K\pi\pi \nu_\tau$ amplitudes and compare the former to recent high statistics results from B factories.
hep-ph
we discuss matrix elements of the strangeness changing vector current using their relation due to analyticity with pi k scattering in the pwave we take into account experimental phaseshift measurements in the elastic channel as well as results obtained by the lass collaboration on the details of inelastic scattering which show the dominance of two quasi twobody channels at medium energiesthe associated form factors are shown to be completely determined up to one flavour symmetry breaking parameter imposing boundary conditions at t0 from chiral and flavour symmetries and at ttoinfty from qcd we apply the results to the tauto kpi nu_tau and tauto kpipi nu_tau amplitudes and compare the former to recent high statistics results from b factories
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710.0549
Coulomb gauge Green functions and Gribov copies in SU(2) lattice gauge theory
We reconsider the lattice measurement of Green functions in Coulomb gauge, both in 2+1 and 3+1 dimensions, using an improved gauge fixing scheme. The influence of Gribov copies is examined and we find clear indications that Green functions are more strongly affected than previously assumed, in particular for low momenta. Qualitatively, our improved lattice results in the infra-red compare more favourably with recent continuum calculations in the Hamiltonian approach.
hep-lat
we reconsider the lattice measurement of green functions in coulomb gauge both in 21 and 31 dimensions using an improved gauge fixing scheme the influence of gribov copies is examined and we find clear indications that green functions are more strongly affected than previously assumed in particular for low momenta qualitatively our improved lattice results in the infrared compare more favourably with recent continuum calculations in the hamiltonian approach
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710.055
Community Detection in Complex Networks by Dynamical Simplex Evolution
We benchmark the dynamical simplex evolution (DSE) method with several of the currently available algorithms to detect communities in complex networks by comparing the fraction of correctly identified nodes for different levels of ``fuzziness'' of random networks composed of well defined communities. The potential benefits of the DSE method to detect hierarchical sub structures in complex networks are discussed.
cond-mat.dis-nn cs.NI physics.soc-ph
we benchmark the dynamical simplex evolution dse method with several of the currently available algorithms to detect communities in complex networks by comparing the fraction of correctly identified nodes for different levels of fuzziness of random networks composed of well defined communities the potential benefits of the dse method to detect hierarchical sub structures in complex networks are discussed
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710.0551
2+1 flavor QCD with the fixed point action in the $\epsilon$-regime
We generated configurations with the approximate fixed-point Dirac operator $D_\mathrm{FP}$ on a $12^4$ lattice with $a \approx 0.13 $fm where the scale was set by $r_0$. The distributions of the low lying eigenvalues in different topological sectors were compared with those of the Random Matrix Theory which leads to a prediction of the chiral condensate.
hep-lat
we generated configurations with the approximate fixedpoint dirac operator d_mathrmfp on a 124 lattice with a approx 013 fm where the scale was set by r_0 the distributions of the low lying eigenvalues in different topological sectors were compared with those of the random matrix theory which leads to a prediction of the chiral condensate
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710.0552
High loop renormalization constants by NSPT: a status report
We present an update on Numerical Stochastic Perturbation Theory projects for Lattice QCD, which are by now run on apeNEXT. As a first issue, we discuss a strategy to tackle finite size effects which can be quite sizeable in the computation of logarithmically divergent renormalization constants. Our first high loop determination of quark bilinears for Wilson fermions was limited to finite constants and finite ratios. A precise determination of Z_P and Z_S (and hence of Z_m) now becomes possible. We also give an account of computations for actions different from the standard regularization we have taken into account so far (Wilson gauge action and Wilson fermions). In particular, we present the status of computations for the Lattice QCD regularization defined by tree level Symanzik improved gauge action and Wilson fermions, which became quite popular in recent times. We also take the chance to discuss the related topic of the computation of the gluon and ghost propagators (which we undertook in collaboration with another group). This is relevant in order to better understand non-perturbative computations of propagators aiming at qualitative/quantitative understanding of confinement.
hep-lat
we present an update on numerical stochastic perturbation theory projects for lattice qcd which are by now run on apenext as a first issue we discuss a strategy to tackle finite size effects which can be quite sizeable in the computation of logarithmically divergent renormalization constants our first high loop determination of quark bilinears for wilson fermions was limited to finite constants and finite ratios a precise determination of z_p and z_s and hence of z_m now becomes possible we also give an account of computations for actions different from the standard regularization we have taken into account so far wilson gauge action and wilson fermions in particular we present the status of computations for the lattice qcd regularization defined by tree level symanzik improved gauge action and wilson fermions which became quite popular in recent times we also take the chance to discuss the related topic of the computation of the gluon and ghost propagators which we undertook in collaboration with another group this is relevant in order to better understand nonperturbative computations of propagators aiming at qualitativequantitative understanding of confinement
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