id large_stringlengths 9 16 | title large_stringlengths 1 382 | abstract large_stringlengths 3 6.09k | publish_date date32 | update_date date32 | categories large listlengths 1 13 | authors large_stringlengths 3 62.8k |
|---|---|---|---|---|---|---|
hep-th/9411088 | Shock Waves and the Vacuum Structure of Gauge Theories | In Yang-Mills theory massless point sources lead naturally to shock-wave
configurations. Their magnetic counterparts endow the vacuum of the
four-dimensional compact abelian model with a Coulomb-gas behaviour whose
physical implications are briefly discussed. (Contribution to ``Quark
Confinement and the Hadron Spectrum... | 1994-11-13 | 2008-02-03 | [
"hep-th",
"cond-mat",
"hep-lat"
] | M. Martellini, A. Sagnotti and M. Zeni |
hep-th/9411086 | Complex-time approach for semi-classical quantum tunneling | The complex-time method for quantum tunneling is studied. In one-dimensional
quantum mechanics, we construct a reduction formula for a Green function in the
number of turning points based on the WKB approximation. This formula yields a
series, which can be interpreted as a sum over the complex-time paths. The
weights o... | 1994-11-12 | 2010-11-01 | [
"hep-th"
] | Hideaki Aoyama and Toshiyuki Harano |
hep-th/9411087 | All bicovariant differential calculi on Glq(3,C) and SLq(3,C) | All bicovariant first order differential calculi on the quantum group
GLq(3,C) are determined. There are two distinct one-parameter families of
calculi. In terms of a suitable basis of 1-forms the commutation relations can
be expressed with the help of the R-matrix of GLq(3,C). Some calculi induce
bicovariant different... | 1994-11-12 | 2009-10-28 | [
"hep-th",
"math.QA",
"q-alg"
] | K. Bresser |
hep-th/9411079 | Integrated differential geometry. Commutative and noncommutative | For a manifold M we define a structure on the group action of Diff(M) on the
smooth functions on M which reduces to the usual differential geometry upon
differentiation at zero along the one-parameter groups of Diff(M). This
``integrated differential geometry'' generalises to all group actions on
associative algebras, ... | 1994-11-11 | 2007-05-23 | [
"hep-th"
] | Hendrik Grundling |
hep-th/9411083 | Local systems over complements of hyperplanes and the Kac-Kazhdan
conditions for singular vectors | In this note we strenghten a theorem by Esnault-Schechtman-Viehweg which
states that one can compute the cohomology of a complement of hyperplanes in a
complex affine space with coefficients in a local system using only logarithmic
global differential forms, provided certain "Aomoto non-resonance conditions"
for monodr... | 1994-11-11 | 2008-02-03 | [
"hep-th",
"alg-geom",
"math.AG",
"math.QA",
"q-alg"
] | V.Schechtman, H.Terao, A.Varchenko |
hep-th/9411078 | Folded Strings in Curved Spacetime | Two dimensional classical string theory is solved in any curved spacetime.
The complete spacetime required to describe the classical string motions turns
out to be larger than the global space required by complete particle geodesics.
The solutions are fully classified by their behavior in the asymptotically flat
region... | 1994-11-11 | 2008-02-03 | [
"hep-th",
"gr-qc"
] | Itzhak Bars |
hep-th/9411080 | Nonabelian Gauge Theories: The Causal Approach | We present the causal construction of perturbative Yang-Mills theories in
four(3+1)-dimensional space-time. We work with free quantum fields throughout.
The inductive causal method by Epstein and Glaser leads directly to a finite
perturbation series and does not rely on an intermediary regularization of the
theory. The... | 1994-11-11 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Tobias Hurth |
hep-th/9411081 | Renormalization in 1D Quantum Mechanics: contact interactions | We build a toy model of the Wilson-Kogut renormalization group in one
dimensional Quantum Mechanics. With it, we show how the RG flow in the space of
1-D S matrices of finite range defines, as renormalized interactions, the known
four parametric set of contact interactions, thus providing a suitable
framework for its s... | 1994-11-11 | 2009-09-25 | [
"hep-th"
] | Luis J Boya, Alejandro Rivero (Universidad de Zaragoza) |
hep-th/9411084 | A Comment on Jones Inclusions with infinite Index | Given an irreducible inclusion of infinite von-Neumann-algebras $\cn \subset
\cm$ together with a conditional expectation $ E : \cm \rightarrow \cm $ such
that the inclusion has depth 2, we show quite explicitely how $\cn $ can be
viewed as the fixed point algebra of $\cm$ w.r.t. an outer action of a compact
Kac-algebr... | 1994-11-11 | 2009-10-28 | [
"hep-th",
"funct-an",
"math.FA",
"math.QA",
"q-alg"
] | Florian Nill, Hans-Werner Wiesbrock |
hep-th/9411085 | Integrable perturbations of CFT with complex parameter: the $M_{3/5}$
model and its generalizations | We give evidence, by use of the Thermodynamic Bethe Ansatz approach, of the
existence of both massive and massless behaviours for the $\phi_{2,1}$
perturbation of the $M_{3,5}$ non-unitary minimal model, thus resolving
apparent contradictions in the previous literature. The two behaviours
correspond to changing the per... | 1994-11-11 | 2015-06-26 | [
"hep-th"
] | F. Ravanini, M. Stanishkov (INFN Bologna) and R. Tateo (Torino Univ) |
hep-th/9411082 | $W_{\infty}$ Algebras and Incompressibility in the Quantum Hall Effect | We discuss how a large class of incompressible quantum Hall states can be
characterized as highest weight states of different representations of the
\Winf algebra. Second quantized expressions of the \Winf generators are
explicitly derived in the cases of multilayer Hall states, the states proposed
by Jain to explain t... | 1994-11-11 | 2007-05-23 | [
"hep-th",
"cond-mat"
] | Dimitra Karabali |
hep-th/9411076 | Singularities in Graviton-Dilaton System: Their Implications on the PPN
Parameters and the Cosmological Constant | Alternatives to Einstein's theory of general relativity can be distinguished
by measuring the parametrised post Newtonian parameters. Two such parameters
$\beta$ and $\gamma$, equal to one in Einstein theory, can be obtained from
static spherically symmetric solutions. For the graviton-dilaton system, as in
Brans-Dicke... | 1994-11-10 | 2008-02-03 | [
"hep-th",
"gr-qc"
] | S. Kalyana Rama |
hep-th/9411071 | The $[n_1,n_2,\ldots,n_s]$--th reduced KP hierarchy and $W_{1+\infty}$
constraints | To every partition $n=n_1+n_2+\cdots+n_s$ one can associate a vertex operator
realization of the Lie algebras $a_{\infty}$ and $\hat{gl}_n$. Using this
construction we obtain reductions of the $s$--component KP hierarchy,
reductions which are related to these partitions. In this way we obtain matrix
KdV type equations.... | 1994-11-10 | 2011-04-15 | [
"hep-th",
"math.QA",
"q-alg"
] | Johan van de Leur |
hep-th/9411073 | Investigation of the High Energy Behaviours of the Scalar Particle
Scattering Amplitude in the Gravitational Field by Functional Approach | Closed expressions for the Green function and amplitude of the scalar
particle scattering in the external gravitational field $g_{\mu\nu}(x)$ are
found in the form of functional integrals. It is shown that, as compared with
the scattering on the vector potential, the tensor character of the
gravitational field leads to... | 1994-11-10 | 2007-05-23 | [
"hep-th"
] | Nguyen Suan Han |
hep-th/9411066 | Phase Operator for the Photon Field and an Index Theorem | An index relation $dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 1$ is
satisfied by the creation and annihilation operators $a^{\dagger}$ and $a$ of a
harmonic oscillator. A hermitian phase operator, which inevitably leads to
$dim\ ker\ a^{\dagger}a - dim\ ker\ aa^{\dagger} = 0$, cannot be consistently
defined. If ... | 1994-11-10 | 2009-10-28 | [
"hep-th"
] | Kazuo Fujikawa |
hep-th/9411072 | The Conversion of Gravitons into Photons in $TE_{mo}$ Mode | We consider the conversion of gravitons into photons in the $ TE_{mo} $ mode.
Cross sections in different directions are given. | 1994-11-10 | 2007-05-23 | [
"hep-th"
] | Nguyen Suan Han, Hoang Ngoc Long, Dang Van Soa |
hep-th/9411069 | The $W_{1+\infty}(gl_s)$--symmetries of the $S$--component KP hierarchy | Adler, Shiota and van Moerbeke obtained for the KP and Toda lattice
hierarchies a formula which translates the action of the vertex operator on
tau--functions to an action of a vertex operator of pseudo-differential
operators on wave functions. This relates the additional symmetries of the KP
and Toda lattice hierarchy... | 1994-11-10 | 2009-10-28 | [
"hep-th",
"math.QA",
"q-alg"
] | Johan van de Leur |
hep-th/9411070 | Deformation of infinite dimensional differential graded Lie algebras | We introduce a notion of elliptic differential graded Lie algebra. The class
of elliptic algebras contains such examples as the algebra of differential
forms with values in endomorphisms of a flat vector bundle over a compact
manifold, etc.
For elliptic differential graded algebra we construct a complete set of
defor... | 1994-11-10 | 2016-09-06 | [
"hep-th",
"math.QA",
"q-alg"
] | Maxim Braverman |
hep-th/9411075 | Induced QCD from the Noncommutative Geometry of a Supermanifold | We study the noncommutative geometry of a two-leaf Parisi--Sourlas
supermanifold in Connes' formalism using different $K$-cycles over the
Grassmann algebra valued functions on the supermanifold. We find that the
curvature of the trivial noncommutative vector bundle defines in the simplest
case the super Yang--Mills act... | 1994-11-10 | 2009-10-28 | [
"hep-th"
] | Jussi Kalkkinen |
hep-th/9411067 | The $n$--TH Reduced BKP Hierarchy, the String Equation and
$BW_{1+\infty}$--Constraints | We study the BKP hierarchy and its $n$--reduction, for the case that $n$ is
odd. This is related to the principal realization of the basic module of the
twisted affine Lie algebra $\hat{sl}_n^{(2)}$. We show that the following two
statements for a BKP $\tau$ function are equivalent: (1) $\tau$ is is
$n$--reduced and sa... | 1994-11-10 | 2007-05-23 | [
"hep-th"
] | Johan Van De Leur |
hep-th/9411077 | Nets of Subfactors | A subtheory of a quantum field theory specifies von~Neumann subalgebras
$\aa(\oo)$ (the `observables' in the space-time region $\oo$) of the
von~Neumann algebras $\bb(\oo)$ (the `fields' localized in $\oo$). Every local
algebra being a (type $\III_1$) factor, the inclusion $\aa(\oo) \subset
\bb(\oo)$ is a subfactor. Th... | 1994-11-10 | 2010-11-01 | [
"hep-th"
] | R.Longo, K.-H.Rehren |
hep-th/9411074 | Asymptotic Conformal Yano--Killing Tensors for Schwarzschild Metric | The asymptotic conformal Yano--Killing tensor proposed in J. Jezierski, On
the relation between metric and spin-2 formulation of linearized Einstein
theory [GRG, in print (1994)] is analyzed for Schwarzschild metric and tensor
equations defining this object are given. The result shows that the
Schwarzschild metric (and... | 1994-11-10 | 2011-12-30 | [
"hep-th",
"gr-qc"
] | J. Jezierski |
hep-th/9411116 | Free Relativistic Anyons with Canonical Spin Algebra | We discuss a relativistic free particle with fractional spin in 2+1
dimensions, where the dual spin components satisfy the canonical angular
momentum algebra $\left\{ S_\mu , S_\nu \right\}\,=\,\epsilon_{\mu \nu
\gamma}S^\gamma $. It is shown that it is a general consequence of these
features that the Poincar\`e invari... | 1994-11-10 | 2009-10-28 | [
"hep-th"
] | D.Dalmazi and A. de Souza Dutra |
hep-th/9411057 | The Vacuum Structure and Spectrum of N=2 Supersymmetric SU(N) Gauge
Theory | We present an exact description of the metric on the moduli space of vacua
and the spectrum of massive states for four dimensional N=2 supersymmetric
SU(n) gauge theories. The moduli space of quantum vacua is identified with the
moduli space of a special set of genus n-1 hyperelliptic Riemann surfaces. | 1994-11-09 | 2009-10-28 | [
"hep-th"
] | Philip C. Argyres and Alon E. Faraggi |
hep-th/9411061 | Electromagnetic and Gravitational Scattering at Planckian Energies | The scattering of pointlike particles at very large center of mass energies
and fixed low momentum transfers, occurring due to both their electromagnetic
and gravitational interactions is re-examined in the particular case when one
of the particles carries magnetic charge. At Planckian center-of-mass energies,
when gra... | 1994-11-09 | 2009-10-28 | [
"hep-th"
] | Saurya Das and Parthasarathi Majumdar |
hep-th/9411060 | More on the exponential bound of four dimensional simplicial quantum
gravity | A crucial requirement for the standard interpretation of Monte Carlo
simulations of simplicial quantum gravity is the existence of an exponential
bound that makes the partition function well-defined. We present numerical data
favoring the existence of an exponential bound, and we argue that the more
limited data sets o... | 1994-11-09 | 2008-11-26 | [
"hep-th",
"gr-qc",
"hep-lat"
] | B. Bruegmann and E. Marinari |
hep-th/9411059 | Non--commutative Group Manifolds | We show that a chiral sector of a symplectic group manifold possesses a
symmetry similar to, but somewhat weaker than the Lie--Poisson one. | 1994-11-09 | 2007-05-23 | [
"hep-th"
] | Z. Hasiewicz and P. Siemion |
hep-th/9411055 | Spacetime and Worldvolume Supersymmetric Super p-Brane Actions | We review the salient features of spacetime and worldvolume supersymmetric
super p-brane actions. These are sigma models for maps from a worldvolume
superspace to the target superspace. For p-branes, the symmetries of the model
depend crucially on the existence of closed super (p+1)-forms on a worldvolume
superspace, b... | 1994-11-09 | 2007-05-23 | [
"hep-th"
] | E. Sezgin |
hep-th/9411063 | Octonion X-Product and E8 Lattices | In this episode, it is shown how the octonion X-product is related to E8
lattices, integral domains, sphere fibrations, and other neat stuff. | 1994-11-09 | 2007-05-23 | [
"hep-th"
] | Geoffrey Dixon |
hep-th/9411062 | Integer Quantization of the Chern-Simons Coefficient in a Broken Phase | We consider a spontaneously broken nonabelian topologically massive gauge
theory in a broken phase possessing a residual nonabelian symmetry. Recently
there has been some question concerning the renormalization of the Chern-Simons
coefficient in such a broken phase. We show that, in this broken vacuum, the
renormalized... | 1994-11-09 | 2009-10-28 | [
"hep-th"
] | L. Chen, G. Dunne, K. Haller and E. Lim-Lombridas |
hep-th/9411058 | Computing the BRST Operator Used in Quantization of Gauge Theories | It is shown that for a large class of non-holonomic quantum mechanical
systems one can make the computation of BRST charge fully algorithmic. Two
computer algebra programs written in the language of {\tt REDUCE} are
described. They are able to realize the complex calculations needed to
determine the charge for general ... | 1994-11-09 | 2015-06-26 | [
"hep-th"
] | A. Burnel, H. Caprasse and A. Dresse |
hep-th/9411064 | Chiral fermions, Gravity and GUTs | We discuss a global anomaly associated with the coupling of chiral Weyl
fermions to gravity. The Standard Model based upon
$SU(3){\times}SU(2){\times}{U(1)}$ which has 15 fermions per generation is
shown to be inconsistent if all background spin manifolds with signature
invariant $\tau=8k$ are allowed. Similarly, GUTs ... | 1994-11-09 | 2007-05-23 | [
"hep-th"
] | Lay Nam Chang and Chopin Soo |
hep-th/9411065 | The Pressure of Hot $g^2 \phi^4$ Theory at order $g^5$ | The order $g^5$ contribution to the pressure of massless $g^2 \phi^4$ theory
at nonzero temperature is obtained explicitly. Lower order contributions are
reconsidered and two issues leading to the optimal choice of rearranged
Lagrangian for such calculations are clarified. | 1994-11-08 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Rajesh Parwani and Harvendra Singh |
hep-th/9411056 | Topology and Strings: Topics in $N=2$ | A review on topological strings and the geometry of the space of two
dimensional theories. (Lectures given by C. Gomez at the Enrico Fermi Summer
School, Varenna, July 1994) | 1994-11-08 | 2007-05-23 | [
"hep-th"
] | C. Gomez and E. Lopez |
hep-th/9411053 | Collective fields, Calogero-Sutherland model and generalized matrix
models | On the basis of the collective field method, we analyze the
Calogero--Sutherland model (CSM) and the Selberg--Aomoto integral, which
defines, in particular case, the partition function of the matrix models.
Vertex operator realizations for some of the eigenstates (the Jack polynomials)
of the CSM Hamiltonian are obtain... | 1994-11-08 | 2009-10-28 | [
"hep-th",
"cond-mat"
] | H. Awata, Y. Matsuo, S. Odake and J. Shiraishi |
hep-th/9411054 | Waves and Solitons in the Continuum Limit of the Calogero-Sutherland
Model | We examine a collection of particles interacting with inverse-square two-body
potentials in the thermodynamic limit. We find explicit large-amplitude density
waves and soliton solutions for the motion of the system. Waves can be
constructed as coherent states of either solitons or phonons. Therefore, either
solitons or... | 1994-11-08 | 2009-10-28 | [
"hep-th",
"cond-mat"
] | Alexios P. Polychronakos |
hep-th/9411051 | Anyon Basis of c=1 Conformal Field Theory | We study the $c=1$ conformal field theory of a free compactified boson with
radius $r=\sqrt{\beta}$ ($\beta$ is an integer). The Fock space of this boson
is constructed in terms of anyon vertex operators and each state is labeled by
an infinite set of pseudo-momenta of filled particles in pseudo-Dirac sea. Wave
functio... | 1994-11-08 | 2010-11-01 | [
"hep-th",
"cond-mat"
] | Satoshi Iso |
hep-th/9411047 | The Dilaton Theorem and Closed String Backgrounds | The zero-momentum ghost-dilaton is a non-primary BRST physical state present
in every bosonic closed string background. It is given by the action of the
BRST operator on another state $\x$, but remains nontrivial in the semirelative
BRST cohomology. When local coordinates arise from metrics we show that dilaton
and $\x... | 1994-11-08 | 2009-10-28 | [
"hep-th"
] | Oren Bergman and Barton Zwiebach |
hep-th/9411068 | Trace Anomalies and Cocycles of Weyl and Diffeomorphisms Groups | The general structure of trace anomaly, suggested recently by Deser and
Shwimmer, is argued to be the consequence of the Wess-Zumino consistency
condition. The response of partition function on a finite Weyl transformation,
which is connected with the cocycles of the Weyl group in $d=2k$ dimensions is
considered, and e... | 1994-11-08 | 2010-11-01 | [
"hep-th"
] | D.R. Karakhanyan, R.P.Manvelyan and R.L. Mkrtchyan |
hep-th/9411048 | Simple Singularities and N=2 Supersymmetric Yang-Mills Theory | We present a first step towards generalizing the work of Seiberg and Witten
on N=2 supersymmetric Yang-Mills theory to arbitrary gauge groups.
Specifically, we propose a particular sequence of hyperelliptic genus $n-1$
Riemann surfaces to underly the quantum moduli space of $SU(n)$ N=2
supersymmetric gauge theory. Thes... | 1994-11-07 | 2009-10-28 | [
"hep-th"
] | A. Klemm, W. Lerche, S. Theisen and S. Yankielowicz |
hep-th/9411046 | KP Hierarchies, Polynomial and Rational W Algebras on Riemann Surfaces:
a Global Approach | A covariant pseudodifferential calculus on Riemann surfaces, based on the
Krichever-Novikov global picture, is presented. It allows defining scalar and
matrix KP operators, together with their reductions, in higher genus. Globally
defined Miura maps are considered and the arising of polynomial or rational
${\cal W}$ al... | 1994-11-07 | 2009-10-28 | [
"hep-th"
] | F. Toppan |
hep-th/9411044 | Finite-Dimensionality of the Space of Conformal Blocks | Without using Gabber's theorem, the finite-dimensionality of the space of
conformal blocks in the WZNW-models is proved. | 1994-11-07 | 2008-02-03 | [
"hep-th"
] | Takeshi Suzuki |
hep-th/9411049 | Anomalies in Instanton Calculus | I develop a formalism for solving topological field theories explicitly, in
the case when the explicit expression of the instantons is known. I solve
topological Yang-Mills theory with the $k=1$ Belavin {\sl et al.} instanton and
topological gravity with the Eguchi-Hanson instanton. It turns out that naively
empty theo... | 1994-11-07 | 2009-10-28 | [
"hep-th"
] | Damiano Anselmi |
hep-th/9411052 | Nonrelativistic Quantum Particle in a Curved Space as a Constrained
System | The operator and the functional formulations of the dynamics of constrained
systems are explored for determining unambiguously the quantum Hamiltonian of a
nonrelativistic particle in a curved space. | 1994-11-07 | 2009-10-28 | [
"hep-th"
] | A. Foerster, H. O. Girotti and P. S. Kuhn |
hep-th/9411050 | Localization of $\frak{u}$-modules. I. Intersection cohomology of real
arrangements | This paper is the first in a series. The main goal of the series is to
present a geometric construction of certain remarkable tensor categories
arising from quantum groups coresponding to the value of deformation parameter
$q$ equal to a root of unity.
In the present paper we study perverse sheaves over a complex aff... | 1994-11-07 | 2008-02-03 | [
"hep-th",
"alg-geom",
"math.AG",
"math.QA",
"q-alg"
] | M. Finkelberg, V. Schechtman |
hep-th/9411045 | Structure of the conservation laws in integrable spin chains with short
range interactions | We present a detailed analysis of the structure of the conservation laws in
quantum integrable chains of the XYZ-type and in the Hubbard model. With the
use of the boost operator, we establish the general form of the XYZ conserved
charges in terms of simple polynomials in spin variables and derive recursion
relations f... | 1994-11-07 | 2015-06-26 | [
"hep-th",
"cond-mat"
] | M. P. Grabowski and P. Mathieu |
hep-th/9411043 | Harmonic Gauss Maps and Self-Dual Equations in String Theory | The string world sheet, regarded as Riemann surface, in background $R^3$ and
$R^4$ is described by the generalised Gauss map. When the Gauss map is harmonic
or equivalently for surfaces of constant mean scalar curvature, we obtain an
Abelian self-dual system, using $SO(3)$ and $SO(4)$ gauge fields constructed in
our ea... | 1994-11-06 | 2007-05-23 | [
"hep-th"
] | R.Parthasarathy and K.S.Viswanathan |
hep-th/9411042 | A Conformal Field Theory of Extrinsic Geometry of 2-d Surfaces | In the description of the extrinsic geometry of the string world sheet
regarded as a conformal immersion of a 2-d surface in $R^3$, it was previously
shown that, restricting to surfaces with $h\surd{g}\ =\ 1$, where $h$ is the
mean scalar curvature and $g$ is the determinant of the induced metric on the
surface, leads ... | 1994-11-06 | 2015-06-26 | [
"hep-th"
] | K.S.Viswanathan and R.Parthasarathy |
hep-th/9411039 | R-Matrix Formulation of the Quantum Inhomogeneous Groups Iso_qr(N) and
Isp_qr(N) | The quantum commutations $RTT=TTR$ and the orthogonal (symplectic) conditions
for the inhomogeneous multiparametric $q$-groups of the $B_n,C_n,D_n$ type are
found in terms of the $R$-matrix of $B_{n+1},C_{n+1},D_{n+1}$. A consistent
Hopf structure on these inhomogeneous $q$-groups is constructed by means of a
projectio... | 1994-11-05 | 2014-11-18 | [
"hep-th"
] | Paolo Aschieri and Leonardo Castellani |
hep-th/9411038 | On Fock Space Representations of quantized Enveloping Algebras related
to Non-Commutative Differential Geometry | In this paper we construct explicitly natural (from the geometrical point of
view) Fock space representations (contragradient Verma modules) of the
quantized enveloping algebras. In order to do so, we start from the Gauss
decomposition of the quantum group and introduce the differential operators on
the corresponding $... | 1994-11-05 | 2010-11-01 | [
"hep-th",
"math.QA",
"q-alg"
] | B.Jurco and M. Schlieker |
hep-th/9411032 | 2d gravity stress tensor and the problem of the calculation of the
multi-loop amplitudes in the string theory | It is shown that the vacuum value of the $2d$ gravity stress tensor in the
free field theory is singular in the fundamental region on the complex plane
where the genus-$n>1$ Riemann surface are mapped. Because of the above
singularity, one can not construct modular invariant multi-loop amplitudes. The
discussed singula... | 1994-11-04 | 2009-10-28 | [
"hep-th"
] | G. S. Danilov |
hep-th/9411036 | Orthogonal Decomposition of Some Affine Lie Algebras in Terms of their
Heisenberg Subalgebras | In the present note we suggest an affinization of a theorem by Kostrikin
et.al. about the decomposition of some complex simple Lie algebras ${\cal G}$
into the algebraic sum of pairwise orthogonal Cartan subalgebras. We point out
that the untwisted affine Kac-Moody algebras of types $A_{p^m-1}$ ($p$ prime,
$m\geq 1$), ... | 1994-11-04 | 2009-10-28 | [
"hep-th",
"alg-geom",
"funct-an",
"math.AG",
"math.FA",
"math.QA",
"q-alg"
] | L.A. Ferreira, D.I. Olive and M.V. Saveliev |
hep-th/9411035 | Generalized Gaudin Models and Riccatians | The systems of differential equations whose solutions coincide with Bethe
ansatz solutions of generalized Gaudin models are constructed. These equations
we call the {\it generalized spectral Riccati equations}, because the simplest
equation of this class has a standard Riccatian form. The general form of these
equation... | 1994-11-04 | 2007-05-23 | [
"hep-th"
] | A. G. Ushveridze |
hep-th/9411030 | Higher covariant derivative regulators and non-multiplicative
renormalization | The renormalization algorithm based on regularization methods with two
regulators is analyzed by means of explicit computations. We show in particular
that regularization by higher covariant derivative terms can be complemented
with dimensional regularization to obtain a consistent renormalized
4-dimensional Yang-Mills... | 1994-11-04 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | C.P. Martin and F. Ruiz Ruiz |
hep-th/9411034 | Quantum orbits of R-matrix type | Given a simple Lie algebra $\gggg$, we consider the orbits in $\gggg^*$ which
are of R-matrix type, i.e., which possess a Poisson pencil generated by the
Kirillov-Kostant-Souriau bracket and the so-called R-matrix bracket. We call an
algebra quantizing the latter bracket a quantum orbit of R-matrix type. We
describe so... | 1994-11-04 | 2009-10-28 | [
"hep-th",
"math.QA",
"q-alg"
] | J.Donin and D.Gurevich |
hep-th/9411027 | $W_{1+\infty}$ as a Discretization of Virasoro Algebra | It is shown that the $W_{1+\infty}$ algebra is nothing but the simplest
subalgebra of a $q$-discretized \vi\ algebra, in the language of the KP
hierarchy explicitly. | 1994-11-04 | 2007-05-23 | [
"hep-th"
] | Ryuji KEMMOKU and Satoru SAITO, 13 pages, Latex |
hep-th/9411031 | Topology and Fractional Quantum Hall Effect | Starting from Laughlin type wave functions with generalized periodic boundary
conditions describing the degenerate groundstate of a quantum Hall system we
explictly construct $r$ dimensional vector bundles. It turns out that the
filling factor $\nu$ is given by the topological quantity $c_1 \over r$ where
$c_1$ is the ... | 1994-11-04 | 2009-10-28 | [
"hep-th",
"cond-mat"
] | Raimund Varnhagen |
hep-th/9411026 | Supersymmetric time-continuous discrete random walks | We apply the supersymmetric procedure to one-step random walks in one
dimension at the level of the usual master equation, extending a study
initiated by H.R. Jauslin [Phys. Rev. A {\bf 41}, 3407 (1990)]. A discussion of
the supersymmetric technique for this discrete case is presented by introducing
a formal second-ord... | 1994-11-04 | 2009-10-28 | [
"hep-th"
] | Haret C. Rosu and Marco Reyes |
hep-th/9411028 | What is String Theory? | The first part is an introduction to conformal field theory and string
perturbation theory. The second part deals with the search for a deeper answer
to the question posed in the title. Contents:
1. Conformal Field Theory
2. String Theory
3. Vacua and Dualities
4. String Field Theory or Not String Field Theory
... | 1994-11-04 | 2007-05-23 | [
"hep-th"
] | Joseph Polchinski |
hep-th/9411037 | A Simple Confinement Mechanism for Light-Front Quantum Chromodynamics | Light-front field theory offers a scenario in which a constituent picture of
hadrons may arise, but only if cutoffs that violate explicit covariance and
gauge invariance are used. The perturbative renormalization group can be used
to approximate the cutoff QCD hamiltonian, and even at lowest orders the
resultant hamilt... | 1994-11-04 | 2008-02-03 | [
"hep-th",
"hep-ph",
"nucl-th"
] | Robert J. Perry |
hep-th/9411040 | Eigenvalue Integro-Differential Equations for Orthogonal Polynomials on
the Real Line | The one-dimensional harmonic oscillator wave functions are solutions to a
Sturm-Liouville problem posed on the whole real line. This problem generates
the Hermite polynomials. However, no other set of orthogonal polynomials can be
obtained from a Sturm-Liouville problem on the whole real line. In this paper
we show how... | 1994-11-04 | 2009-10-28 | [
"hep-th",
"cond-mat",
"funct-an",
"math.FA"
] | Carl M. Bender and Joshua Feinberg |
hep-th/9411033 | The duality between $\kappa$-Poincar\'e algebra and $\kappa$-Poincar\'e
group | The full duality between the $\kappa$-Poincar\'e algebra and
$\kappa$-Poincar\'e group is proved. | 1994-11-04 | 2008-02-03 | [
"hep-th",
"math.QA",
"q-alg"
] | Piotr Kosinski, Pawel Maslanka |
hep-th/9411029 | Physical States and String Symmetries | It is shown that if the momenta belong to an integral lattice, then every
physical state of string theory leads to a symmetry of the scattering
amplitudes. We discuss the role of this symmetry when the momenta are those
provided by the usual D.D.F construction and show that the string compactified
on the torus associat... | 1994-11-04 | 2009-10-28 | [
"hep-th"
] | P.C.West |
hep-th/9411025 | Stochastic Master Fields | We treat the stochastic equation for large N master fields proposed by
Greensite and Halpern using a construction of master fields modelled after work
of Voiculescu, and show that it contains the same information as the usual
factorized Schwinger-Dyson equations. | 1994-11-03 | 2009-10-28 | [
"hep-th"
] | Michael R. Douglas |
hep-th/9411023 | Pseudoclassical and quantum theory of the D=2n dimensional relativistic
spinning particle with anomalous "magnetic" moment in the external Yang-Mills
field | The pseudoclassical hamiltonian and action of the $D=2n$ dimensional Dirac
particle with anomalous magnetic moment interacting with the external
Yang-Mills field are found. The Bargmann-Michel-Telegdi equation of motion for
the Pauli-Lubanski vector is deduced. The canonical quantization of $D=2n$
dimensional Dirac spi... | 1994-11-03 | 2007-05-23 | [
"hep-th"
] | G. V. Grigoryan, R. P. Grigoryan, G. A. Sarkissian |
hep-th/9411022 | Flavor changing neutral current constraints on standard-like orbifold
models | We examine for standard-like orbifold compactification models the constraints
due to quarks and leptons generation non-universality of soft supersymmetry
breaking interactions. We follow the approach initiated by Ibanez and Lust and
developed by Brignole, Ibanez and Munoz. The breaking of supersymmetry is
represented i... | 1994-11-03 | 2010-04-06 | [
"hep-th",
"hep-ph"
] | P. Brax and M. Chemtob |
hep-th/9411024 | Non-Critical Bosonic String Corrections to the Black Hole Entropy | We calculate the quantum corrections to the entropy of a very large black
hole, coming from the theory of a $D$-dimensional, non-critical bosonic string.
We show that, for $D >2$, as a result of modular invariance the entropy is
ultraviolet finite, although it diverges in the infrared (while for $D=2$ the
entropy conta... | 1994-11-03 | 2009-09-17 | [
"hep-th"
] | E. Elizalde and S.D. Odintsov |
hep-th/9411021 | Mastering the Master Field | The basic concepts of non-commutative probability theory are reviewed and
applied to the large $N$ limit of matrix models. We argue that this is the
appropriate framework for constructing the master field in terms of which large
$N$ theories can be written. We explicitly construct the master field in a
number of cases ... | 1994-11-03 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | Rajesh Gopakumar and David J. Gross (Princeton University) |
hep-th/9411041 | The Background-Field Method and Noninvariant Renormalization | We investigate the consistency of the background-field formalism when
applying various regularizations and renormalization schemes. By an example of
a two-dimensional $\sigma$ model it is demonstrated that the background-field
method gives incorrect results when the regularization (and/or renormalization)
is noninvaria... | 1994-11-03 | 2007-05-23 | [
"hep-th"
] | L.V.Avdeev, D.I.Kazakov and M.Yu.Kalmykov |
hep-th/9411011 | Lattice electrons in constant magnetic field: Bethe like ansatz | We use the functional representation of Heisenberg-Weyl group and obtain
equation for the spectrum of the model, which is more complicated than Bethes
ones, but can be written explicitly through theta functions. | 1994-11-02 | 2007-05-23 | [
"hep-th",
"cond-mat"
] | T.S.Hakobyan, A.G.Sedrakyan |
hep-th/9411020 | Black Hole Evolution | Black hole formation and evaporation is studied in the semiclassical
approximation in simple 1+1-dimensional models, with emphasis on issues related
to Hawking's information paradox. Exact semiclassical solutions are described
and questions of boundary conditions and vacuum stability are discussed. The
validity of the ... | 1994-11-02 | 2010-11-01 | [
"hep-th",
"gr-qc"
] | Larus Thorlacius |
hep-th/9411019 | Free energy decreases along Wilson renormalization group trajectories | The free energy is shown to decrease along Wilson renormalization group
trajectories, in a dimension-independent fashion, for $d>2.$ The argument
assumes the monotonicity of the cutoff function, and positivity of a spectral
representation of the two point function. The argument is valid to all orders
in perturbation th... | 1994-11-02 | 2015-06-26 | [
"hep-th"
] | Vipul Periwal |
hep-th/9411017 | Some Simple (Integrable) Models of Fractional Statistics | In the first part, we introduce the notion of fractional statistics in the
sense of Haldane. We illustrate it on simple models related to anyon physics
and to integrable models solvable by the Bethe ansatz. In the second part, we
describe the properties of the long-range interacting spin chains. We describe
its infinit... | 1994-11-02 | 2007-05-23 | [
"hep-th"
] | Denis Bernard |
hep-th/9411013 | The phase diagram of an Ising model on a polymerized random surface | We construct a random surface model with a string susceptibility exponent one
quarter by taking an Ising model on a random surface and introducing an
additional degree of freedom which amounts to allowing certain outgrowths on
the surfaces. Fine tuning the Ising temperature and the weight factor for
outgrowths we find ... | 1994-11-02 | 2009-10-28 | [
"hep-th"
] | T. Jonsson, J.F. Wheater |
hep-th/9411014 | Recursion Relations in Liouville Gravity coupled to Ising Model
satisfying Fusion Rules | The recursion relations of 2D quantum gravity coupled to the Ising model
discussed by the author previously are reexamined. We study the case in which
the matter sector satisfies the fusion rules and only the primary operators
inside the Kac table contribute. The theory involves unregularized divergences
in some of cor... | 1994-11-02 | 2009-10-28 | [
"hep-th"
] | K. Hamada |
hep-th/9411009 | A-D-E Polynomial and Rogers--Ramanujan Identities | We conjecture polynomial identities which imply Rogers--Ramanujan type
identities for branching functions associated with the cosets $({\cal
G}^{(1)})_{\ell-1}\otimes ({\cal G}^{(1)})_{1} / ({\cal G}^{(1)})_{\ell}$, with
${\cal G}$=A$_{n-1}$ \mbox{$(\ell\geq 2)$}, D$_{n-1}$ $(\ell\geq 2)$,
E$_{6,7,8}$ $(\ell=2)$. In su... | 1994-11-02 | 2009-10-28 | [
"hep-th",
"math.QA",
"q-alg"
] | S.O. Warnaar and P.A. Pearce |
hep-th/9411012 | Renormalization group and logarithmic corrections to scaling relations
in conformal sector of 4D gravity | We study the effective theory of the conformal factor near its infrared
stable fixed point.The renormalization group equations for the effective
coupling constants are found and their solutions near the critical point are
obtained, providing the logarithmic corrections to scaling relations.Some
cosmological application... | 1994-11-02 | 2009-09-17 | [
"hep-th"
] | I. Antoniadis and S.D. Odintsov |
hep-th/9411018 | Gravity's Rainbow: Limits for the applicability of the equivalence
principle | Limits for the applicability of the equivalence principle are considered in
the context of low-energy effective field theories. In particular, we find a
class of higher-derivative interactions for the gravitational and
electromagnetic fields which produce dispersive photon propagation. The latter
is illustrated by calc... | 1994-11-02 | 2010-11-01 | [
"hep-th",
"gr-qc"
] | Rene Lafrance and Robert C. Myers |
hep-th/9411015 | On the computation of one-loop amplitudes with external fermions in 4d
heterotic superstrings | We present the technical tools needed to compute any one-loop amplitude
involving external spacetime fermions in a four-dimensional heterotic string
model a` la Kawai-Lewellen-Tye. As an example, we compute the one-loop
three-point amplitude with one "photon" and two external massive fermions
("electrons"). As a check ... | 1994-11-02 | 2009-10-28 | [
"hep-th"
] | A. Pasquinucci and K. Roland (Niels Bohr Institute, Copenhagen) |
hep-th/9411010 | A Note on Color Confinement | An argument is given which exhibits color confinement in nonabelian gauge
theory. | 1994-11-02 | 2008-02-03 | [
"hep-th"
] | Izawa K.-I |
hep-th/9411016 | O(1/N_f) Corrections to the Thirring Model in 2<d<4 | The Thirring model, that is, a relativistic field theory of fermions with a
contact interaction between vector currents, is studied for dimensionalities
2<d<4 using the 1/N_f expansion, where N_f is the number of fermion species.
The model is found to have no ultraviolet divergences at leading order provided
a regulari... | 1994-11-02 | 2009-10-28 | [
"hep-th",
"hep-lat"
] | Simon Hands |
hep-th/9410241 | Introduction to Braided Geometry and $q$-Minkowski Space | We present a systematic introduction to the geometry of linear braided
spaces. These are versions of $\R^n$ in which the coordinates $x_i$ have
braid-statistics described by an R-matrix. From this starting point we survey
the author's braided-approach to $q$-deformation: braided differentiation,
exponentials, Gaussians... | 1994-11-01 | 2008-02-03 | [
"hep-th",
"math.QA"
] | Shahn Majid |
hep-th/9411004 | Conformal blocks on elliptic curves and the
Knizhnik--Zamolodchikov--Bernard equations | We give an explicit description of the vector bundle of WZW conformal blocks
on elliptic curves with marked points as subbundle of a vector bundle of Weyl
group invariant vector valued theta functions on a Cartan subalgebra. We give a
partly conjectural characterization of this subbundle in terms of certain
vanishing c... | 1994-11-01 | 2009-10-28 | [
"hep-th",
"math.QA",
"q-alg"
] | Giovanni Felder and Christian Wieczerkowski |
hep-th/9411008 | Chiral Symmetry Breaking and Light-Front QCD | This paper consists of an overview of the discussions on chiral symmetry
breaking followed by a transcript of the discussions themselves. (Based on
discussions at ``Theory of Hadrons and Light-Front QCD,'' Polana Zgorzelisko,
Poland, August 1994.) | 1994-11-01 | 2008-02-03 | [
"hep-th",
"hep-ph"
] | Kenneth G. Wilson and Martina Brisudova |
hep-th/9411001 | Four-Dimensional Twisted Group Lattices | Four-dimensional twisted group lattices are used as models for space-time
structure. Compared to other attempts at space-time deformation, they have two
main advantages: They have a physical interpretation and there is no difficulty
in putting field theories on these structures. We present and discuss ordinary
and gaug... | 1994-11-01 | 2009-10-28 | [
"hep-th",
"hep-lat"
] | O. Lechtenfeld and S. Samuel |
hep-th/9410242 | A Scheme Independent Definition of $\Lambda_{\rm QCD}$ | Given a renormalization scheme of QCD, one can define a mass scale
$\Lambda_{\rm QCD}$ in terms of the beta function. Under a change of the
renormalization scheme, however, $\Lambda_{\rm QCD}$ changes by a
multiplicative constant. We introduce a scheme independent $\Lambda_{\rm QCD}$
using a connection on the space of ... | 1994-11-01 | 2008-02-03 | [
"hep-th",
"hep-ph"
] | Hidenori Sonoda |
hep-th/9410244 | A Solution of the Maxwell-Dirac Equations in 3+1 Dimensions | We investigate a class of localized, stationary, particular numerical
solutions to the Maxwell-Dirac system of classical nonlinear field equations.
The solutions are discrete energy eigenstates bound predominantly by the
self-produced electric field. | 1994-11-01 | 2010-12-02 | [
"hep-th"
] | A. Garrett Lisi |
hep-th/9411005 | On the constrained KP hierarchy II | A constrained KP hierarchy is discussed that was recently suggested by Aratyn
et al. and by Bonora et al. This hierarchy is a restriction of the KP to a
submanifold of operators which can be represented as a ratio of two purely
differential operators of prescribed orders. Explicit formulas for action of
vector fields o... | 1994-11-01 | 2009-10-28 | [
"hep-th",
"math.QA",
"q-alg"
] | L. A. Dickey |
hep-th/9411003 | Strings in Spacetime Cotangent Bundle and T-duality | A simple geometric description of T-duality is given by identifying the
cotangent bundles of the original and the dual manifold. Strings propagate
naturally in the cotangent bundle and the original and the dual string phase
spaces are obtained by different projections. Buscher's transformation follows
readily and it is... | 1994-11-01 | 2009-10-28 | [
"hep-th"
] | C.Klimcik, P.Severa |
hep-th/9410243 | Light Front Hamiltonian for Transverse Lattice QCD | A calculational framework for determining masses of low lying hadrons using
light front quantization is discussed. The method is based upon four
theoretical tools: discrete light cone quantization, which has been very
successful in 1+1 dimensional models, a projector Monte Carlo method to extract
low lying state data w... | 1994-11-01 | 2007-05-23 | [
"hep-th"
] | Paul A. Griffin |
hep-th/9411006 | Many Q-Particles from One: A New Approach to $*$-Hopf Algebras? | We propose a nonstandard approach to solving the apparent incompatibility
between the coalgebra structure of some inhomogeneous quantum groups and their
natural complex conjugation. In this work we sketch the general idea and
develop the method in detail on a toy-model; the latter is a q-deformation of
the Hopf algebra... | 1994-11-01 | 2008-02-03 | [
"hep-th",
"math.QA",
"q-alg"
] | Gaetano Fiore |
hep-th/9411007 | Light-Front QCD and the Constituent Quark Model | A general strategy is described for deriving a constituent approximation to
QCD, inspired by the constituent quark model and based on light-front
quantization. Some technical aspects of the approach are discussed, including a
mechanism for obtaining a confining potential and ways in which spontaneous
chiral symmetry br... | 1994-11-01 | 2007-05-23 | [
"hep-th",
"hep-ph",
"nucl-th"
] | Kenneth G. Wilson and David G. Robertson |
hep-th/9411002 | Space-Time Geometry of Three-Dimensional Yang-Mills Theory | It is shown that the $SU(2)$ Yang-Mills theory in $3$-dimensional
Riemann-Cartan space-time can be completely reformulated as a gravity-like
theory in terms of gauge invariant variables. The resulting Yang-Mills induced
equations are found, and it is demonstrated that they can be derived from a
torsion-square type of a... | 1994-11-01 | 2016-08-16 | [
"hep-th"
] | V. Radovanovi\'c and Dj. \v{S}ija\v{c}ki |
hep-th/9410236 | On a non-CP-violating electric dipole moment of elementary particles | A description of elementary particles should be based on irreducible
representations of the Poincar\'e group. In the theory of massive
representations of the full Poincar\'e group there are essentially four
different cases. One of them corresponds to the ordinary Dirac theory. The
extension of Dirac theory to the remai... | 1994-10-31 | 2007-05-23 | [
"hep-th"
] | J. Giesen |
hep-th/9410231 | Chiral Perturbation Theory in the Framework of Non-Commutative Geometry | We consider the non-commutative generalization of the chiral perturbation
theory. The resultant coupling constants are severely restricted by the model
and in good agreement with the data. When applied to the Skyrme model, our
scheme reproduces the non-Skyrme term with the right coefficient. We comment on
a similar tre... | 1994-10-31 | 2009-10-28 | [
"hep-th",
"hep-ph"
] | F. Ardalan, K. Kaviani |
hep-th/9410240 | Light-Cone Quantization of Electrodynamics | Light-cone quantization of (3+1)-dimensional electrodynamics is discussed,
using discretization as an infrared regulator and paying careful attention to
the interplay between gauge choice and boundary conditions. In the zero
longitudinal momentum sector of the theory a general gauge fixing is performed
and the correspo... | 1994-10-31 | 2007-05-23 | [
"hep-th"
] | David G. Robertson |
hep-th/9410232 | generalised q-deformed oscillators and their statistics | We consider a version of generalised $q$-oscillators and some of their
applications. The generalisation includes also "quons" of infinite statistics
and deformed oscillators of parastatistics. The statistical distributions for
different $q$-oscillators are derived for their corresponding Fock space
representations. The... | 1994-10-31 | 2007-05-23 | [
"hep-th"
] | Dao Vong Duc |
hep-th/9410235 | The Heavy Quark Potential in Two-Dimentional QCD with Adjoint Matter | Using a loop formulation approach of QCD$_2$, we study the potential between
two heavy quarks in the presence of adjoint scalar fields, and demonstrate how
't Hooft's planar rule is manifested in this formulation. Based on some
physical assumptions, we argue that large adjoint loops ``confined'' inside an
external fund... | 1994-10-31 | 2010-11-01 | [
"hep-th"
] | T.H. Hansson and Rodanthy Tzani |
hep-th/9410234 | Dynamic Monte Carlo Measurement of Critical Exponents | Based on the scaling relation for the dynamics at the early time, a new
method is proposed to measure both the static and dynamic critical exponents.
The method is applied to the two dimensional Ising model. The results are in
good agreement with the existing results. Since the measurement is carried out
in the initial... | 1994-10-31 | 2009-09-25 | [
"hep-th"
] | Z.B. Li, L. Schuelke, and B. Zheng |
hep-th/9410237 | An Introduction to T-Duality in String Theory | In these lectures a general introduction to T-duality is given. In the
abelian case the approaches of Buscher, and Ro\u{c}ek and Verlinde are
reviewed. Buscher's prescription for the dilaton transformation is recovered
from a careful definition of the gauge integration measure. It is also shown
how duality can be under... | 1994-10-31 | 2009-09-25 | [
"hep-th"
] | E. Alvarez, L. Alvarez-Gaume and Y. Lozano |
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