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gr-qc/9211004
Sum-over-histories origin of the composition laws of relativistic quantum mechanics and quantum cosmology
The scope of the paper has been broadened to include a more complete discussion of the following topics: The derivation of composition laws in quantum cosmology. The connection between the existence of a composition law in the sum over histories approach to relativistic quantum mechanics and quantum cosmology, and the ...
1992-11-04
2009-10-22
[ "gr-qc", "hep-th" ]
Jonathan Halliwell and Miguel Ortiz
gr-qc/9211005
M\"o\ss{}bauer null redshift experiment II
Accurate limits for the violation of the Principle of Equivalence have been found from the comparison of the redshifts of two identical nuclear species in different chemical environments.
1992-11-04
2007-05-23
[ "gr-qc" ]
M. De Francia, G. Goya, R. C. Mercader and H. Vucetich
gr-qc/9211007
D=3: Singularities in Gravitational Scattering of Scalar Waves
Family of exact spacetimes of D=3 Einstein gravity interacting with massless scalar field is obtained by suitable dimensional reduction of a class of D=4 plane-symmetric Einstein vacua. These D=3 spacetimes describe collisions of line-fronted asymptotically null excitations and are generically singular to the future. T...
1992-11-04
2016-08-14
[ "gr-qc" ]
C. Klim\v{c}\'ik and P. Koln\'ik
gr-qc/9211003
Hadamard States and Adiabatic Vacua
Reversing a slight detrimental effect of the mailer related to TeXability
1992-11-04
2009-10-22
[ "gr-qc", "hep-th" ]
Kay-Thomas Pirk
gr-qc/9211001
Chern--Simons Gravity from 3+1 Dimensional Gravity
In the context of a Poincar\'e gauge theoretical formulation, pure gravity in 3+1-dimensions is dimensionally reduced to gravity in 2+1-dimensions with or without cosmological constant $\Lambda$. The dimensional reductions are consistent with the gauge symmetries, mapping ISO(3, 1) gauge transformations into ISO(2,1) o...
1992-11-03
2009-10-22
[ "gr-qc" ]
G. Grignani and G. Nardelli
gr-qc/9211002
Einstein Equation with Quantum Corrections Reduced to Second Order
We consider the Einstein equation with first order (semiclassical) quantum corrections. Although the quantum corrections contain up to fourth order derivatives of the metric, the solutions which are physically relevant satisfy a reduced equations which contain derivatives no higher than second order. We obtain the redu...
1992-11-03
2008-11-26
[ "gr-qc" ]
Leonard Parker and Jonathan Z. Simon
gr-qc/9210020
SO(4) Invariant States in Quantum Cosmology
The phenomenon of linearisation instability is identified in models of quantum cosmology that are perturbations of mini-superspace models. In particular, constraints that are second order in the perturbations must be imposed on wave functions calculated in such models. It is shown explicitly that in the case of a model...
1992-10-30
2010-04-06
[ "gr-qc" ]
Fay Dowker
gr-qc/9210017
Is Quantum Spacetime Foam Unstable?
A very simple wormhole geometry is considered as a model of a mode of topological fluctutation in Planck-scale spacetime foam. Quantum dynamics of the hole reduces to quantum mechanics of one variable, throat radius, and admits a WKB analysis. The hole is quantum-mechanically unstable: It has no bound states. Wormhole ...
1992-10-28
2010-01-06
[ "gr-qc" ]
Ian H. Redmount and Wai-Mo Suen
gr-qc/9210018
Self-Consistence of Semi-Classical Gravity
Simon argued that the semi-classical theory of gravity, unless with some of its solutions excluded, is unacceptable for reasons of both self-consistency and experiment, and that it has to be replaced by a constrained semi-classical theory. We examined whether the evidence is conclusive.
1992-10-28
2007-05-23
[ "gr-qc" ]
Wai-Mo Suen
gr-qc/9210016
Towards a Singularity-Proof Scheme in Numerical Relativity
Progress in numerical relativity has been hindered for 30 years because of the difficulties of avoiding spacetime singularities in numerical evolution. We propose a scheme which excises a region inside an apparent horizon containing the singularity. Two major ingredients of the scheme are the use of a horizon-locking c...
1992-10-28
2008-11-26
[ "gr-qc" ]
Edward Seidel and Wai-Mo Suen
gr-qc/9210019
Path integration in relativistic quantum mechanics
The simple physics of a free particle reveals important features of the path-integral formulation of relativistic quantum theories. The exact quantum-mechanical propagator is calculated here for a particle described by the simple relativistic action proportional to its proper time. This propagator is nonvanishing outsi...
1992-10-28
2015-06-25
[ "gr-qc" ]
Ian H. Redmount and Wai-Mo Suen
gr-qc/9210015
Cosmological Models in Two Spacetime Dimensions
Various physical properties of cosmological models in (1+1) dimensions are investigated. We demonstrate how a hot big bang and a hot big crunch can arise in some models. In particular, we examine why particle horizons do not occur in matter and radiation models. We also discuss under what circumstances exponential infl...
1992-10-26
2010-04-06
[ "gr-qc" ]
K.C.K. Chan and R.B. Mann
gr-qc/9210014
A Nonsingular Universe
We construct an effective action for gravity in which all homogeneous solutions are nonsingular. In particular, there is neither a big bang nor a big crunch. The action is a higher derivative modification of Einstein's theory constructed in analogy to how the action for point particle motion in special relativity is ob...
1992-10-24
2007-05-23
[ "gr-qc", "astro-ph", "hep-th" ]
Robert H. Brandenberger
gr-qc/9210013
Quantum Effects in Black Hole Interiors
The Weyl curvature inside a black hole formed in a generic collapse grows, classically without bound, near to the inner horizon, due to partial absorption and blueshifting of the radiative tail of the collapse. Using a spherical model, we examine how this growth is modified by quantum effects of conformally coupled mas...
1992-10-23
2009-10-22
[ "gr-qc" ]
Warren G. Anderson, Patrick R. Brady, Werner Israel, and Sharon M. Morsink
gr-qc/9210012
No Time Machines from Lightlike Sources in 2+1 Gravity
We extend the argument that spacetimes generated by two timelike particles in D=3 gravity (or equivalently by parallel-moving cosmic strings in D=4) permit closed timelike curves (CTC) only at the price of Misner identifications that correspond to unphysical boundary conditions at spatial infinity and to a tachyonic ce...
1992-10-21
2009-11-19
[ "gr-qc", "hep-th" ]
S. Deser and Alan R. Steif
gr-qc/9210010
Classical Equations for Quantum Systems
The origin of the phenomenological deterministic laws that approximately govern the quasiclassical domain of familiar experience is considered in the context of the quantum mechanics of closed systems such as the universe as a whole. We investigate the requirements for coarse grainings to yield decoherent sets of histo...
1992-10-21
2014-01-15
[ "gr-qc", "hep-th", "quant-ph" ]
Murray Gell-Mann and James B. Hartle
gr-qc/9210011
Canonical Quantum Gravity and the Problem of Time
This is the write-up of my lectures at the NATO Summer School held in Salamanca in June 1992. The paper deals with the problem of time in quantum gravity. All the major schemes are reviewed. Please note that the paper is in two parts for ease of email transmission; this is part 1. The mailer from gr-qc may further subd...
1992-10-21
2007-05-23
[ "gr-qc" ]
Chris J. Isham
gr-qc/9210009
Improved Energy-Momentum Currents in Metric-Affine Spacetime
In Minkowski spacetime it is well-known that the canonical energy-momentum current is involved in the construction of the globally conserved currents of energy-momentum and total angular momentum. For the construction of conserved currents corresponding to (approximate) scale and proper conformal symmetries, however, a...
1992-10-15
2008-11-26
[ "gr-qc", "hep-th" ]
Ralf Hecht, Friedrich W. Hehl, J. Dermott McCrea, Eckehard W. Mielke and Yuval Ne'eman
gr-qc/9210008
Dynamical Origin of the Lorentzian Signature of Spacetime
It is suggested that not only the curvature, but also the signature of spacetime is subject to quantum fluctuations. A generalized D-dimensional spacetime metric of the form $g_{\mu \nu}=e^a_\mu \eta_{ab} e^b_\nu$ is introduced, where $\eta_{ab} = diag\{e^{i\theta},1,...,1\}$. The corresponding functional integral for ...
1992-10-14
2009-10-22
[ "gr-qc", "hep-th" ]
J. Greensite
gr-qc/9210006
The Quantum Mechanics of Closed Systems
A pedagogical introduction is given to the quantum mechanics of closed systems, most generally the universe as a whole. Quantum mechanics aims at predicting the probabilities of alternative coarse-grained time histories of a closed system. Not every set of alternative coarse-grained histories that can be described may ...
1992-10-13
2014-01-15
[ "gr-qc", "hep-th", "quant-ph" ]
James B. Hartle
gr-qc/9210007
Unitary Equivalence of the Metric and Holonomy Formulations of 2+1 Dimensional Quantum Gravity on the Torus
Recent work on canonical transformations in quantum mechanics is applied to transform between the Moncrief metric formulation and the Witten-Carlip holonomy formulation of 2+1-dimensional quantum gravity on the torus. A non-polynomial factor ordering of the classical canonical transformation between the metric and holo...
1992-10-13
2009-10-22
[ "gr-qc", "hep-th" ]
Arlen Anderson
gr-qc/9210005
The Dark Matter Problem in Light of Quantum Gravity
We show how, by considering the cumulative effect of tiny quantum gravitational fluctuations over very large distances, it may be possible to: ($a$) reconcile nucleosynthesis bounds on the density parameter of the Universe with the predictions of inflationary cosmology, and ($b$) reproduce the inferred variation of the...
1992-10-08
2009-10-22
[ "gr-qc", "astro-ph", "hep-ph" ]
T. Goldman, J. P\'erez-Mercader, Fred Cooper and Michael Martin Nieto
gr-qc/9210004
The Spacetime Approach to Quantum Mechanics
Feynman's sum-over-histories formulation of quantum mechanics is reviewed as an independent statement of quantum theory in spacetime form. It is different from the usual Schr\"odinger-Heisenberg formulation that utilizes states on spacelike surfaces because it assigns probabilities to different sets of alternatives. Su...
1992-10-07
2018-07-24
[ "gr-qc", "hep-th", "quant-ph" ]
James B. Hartle
gr-qc/9210003
The Wave Function of the Universe by the New Euclidean Path-integral Approach in Quantum Cosmology
The wave function of the universe is evaluated by using the Euclidean path integral approach. As is well known, the real Euclidean path integral diverges because the Einstein-Hilbert action is not positive definite. In order to obtain a finite wave function, we propose a new regularization method and calculate the wave...
1992-10-07
2009-10-22
[ "gr-qc", "hep-th" ]
Atushi Ishikawa and Haruhiko Ueda
gr-qc/9210002
The Nordtvedt effect in the Trojan asteroids
Bounds to the Nordtvedt parameter are obtained from the motion of the first twelve Trojan asteroids in the period 1906-1990. From the analysis performed, we derive a value for the inverse of the Saturn mass 3497.80 \pm 0.81 and the Nordtvedt parameter -0.56 \pm 0.48, from a simultaneous solution for all asteroids.
1992-10-05
2011-05-23
[ "gr-qc" ]
R.B. Orellana and H. Vucetich
gr-qc/9210001
Clifford Algebra of Two-Forms, Conformal Structures and Field Equations
I review the equivalence between duality operators on two-forms and conformal structures in four dimensions, from a Clifford algebra point of view (due to Urbantke and Harnett). I also review an application, which leads to a set of "neighbours" of Einstein's equations. An attempt to formulate reality conditions for the...
1992-10-05
2007-05-23
[ "gr-qc" ]
Ingemar Bengtsson
gr-qc/9209014
The Microcanonical Functional Integral. I. The Gravitational Field
The gravitational field in a spatially finite region is described as a microcanonical system. The density of states $\nu$ is expressed formally as a functional integral over Lorentzian metrics and is a functional of the geometrical boundary data that are fixed in the corresponding action. These boundary data are the th...
1992-09-30
2009-10-22
[ "gr-qc", "hep-th" ]
J. David Brown and James W. York
gr-qc/9209013
Poincar\'e Gauge Theories for Lineal Garvity
We have shown that two of the most studied models of lineal gravities - Liouville gravity and a ``string-inspired'' model exhibiting the main characteristic features of a black-hole solution - can be formulated as gauge invariant theories of the Poincar\'e group. The gauge invariant couplings to matter (particles, scal...
1992-09-30
2009-10-22
[ "gr-qc" ]
G. Grignani and G. Nardelli
gr-qc/9209015
Jordan-Brans-Dicke Quantum Wormholes and Coleman's Mechanism
We consider the quantum gravity and cosmology of a Jordan-Brans-Dicke theory, predicted by string effective actions. We study its canonical formalism and find that the constraint algebra is that of general relativity, as a consequence of the general covariance of scalar-tensor theories. We also analyze the problem of b...
1992-09-30
2009-10-22
[ "gr-qc", "hep-th" ]
Luis J. Garay and Juan Garcia-Bellido
gr-qc/9209012
Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
The quasilocal energy of gravitational and matter fields in a spatially bounded region is obtained by employing a Hamilton-Jacobi analysis of the action functional. First, a surface stress-energy-momentum tensor is defined by the functional derivative of the action with respect to the three-metric on ${}^3B$, the histo...
1992-09-29
2008-11-26
[ "gr-qc", "hep-th" ]
J. David Brown and James W. York
gr-qc/9209011
The Modular Group, Operator Ordering, and Time in (2+1)-Dimensional Gravity
A choice of time-slicing in classical general relativity permits the construction of time-dependent wave functions in the ``frozen time'' Chern-Simons formulation of $(2+1)$-dimensional quantum gravity. Because of operator ordering ambiguities, however, these wave functions are not unique. It is shown that when space h...
1992-09-25
2010-04-28
[ "gr-qc", "hep-th" ]
S. Carlip
gr-qc/9209009
Euclidean Maxwell-Einstein Theory
After reviewing the context in which Euclidean propagation is useful we compare and contrast Euclidean and Lorentzian Maxwell-Einstein theory and give some examples of Euclidean solutions.
1992-09-24
2007-05-23
[ "gr-qc" ]
Dieter Brill
gr-qc/9209010
Detection, Measurement and Gravitational Radiation
Here I examine how to determine the sensitivity of the LIGO, VIRGO, and LAGOS gravitational wave detectors to sources of gravitational radiation by considering the process by which data are analyzed in a noisy detector. By constructing the probability that the detector output is consistent with the presence of a signal...
1992-09-24
2008-11-26
[ "gr-qc", "astro-ph" ]
Lee Samuel Finn
gr-qc/9209008
Continuous Family of Einstein-Yang-Mills Wormholes
It is shown that for some particular value of the cosmological constant depending on the gauge coupling constant a continuous one-parameter family of Einstein-Yang-Mills wormholes exists which interpolates between the instanton and the gravitating meron solutions. In contradistinction with the previously known solution...
1992-09-23
2010-11-01
[ "gr-qc", "hep-th" ]
E.E. Donets and D.V. Gal'tsov
gr-qc/9209007
Semiclassical Effects and the Onset of Inflation
We present a class of exact solutions to the constraint equations of General Relativity coupled to a Klein - Gordon field, these solutions being isotropic but not homogeneous. We analyze the subsequent evolution of the consistent Cauchy data represented by those solutions, showing that only certain special initial cond...
1992-09-16
2010-11-01
[ "gr-qc" ]
E. Calzetta and M. Sakellariadou
gr-qc/9209006
Asymptotic Behavior of the $T^3 \times R$ Gowdy Spacetimes
We present new evidence in support of the Penrose's strong cosmic censorship conjecture in the class of Gowdy spacetimes with $T^3$ spatial topology. Solving Einstein's equations perturbatively to all orders we show that asymptotically close to the boundary of the maximal Cauchy development the dominant term in the exp...
1992-09-16
2009-10-22
[ "gr-qc" ]
Boro Grubisic and Vincent Moncrief
gr-qc/9209005
The Loss of Unitarity in the Vicinity of a Time Machine
We construct the propagator of a non-relativistic non-interacting particle in a flat spacetime in which two regions have been identified. This corresponds to the simplest "time machine". We show that while completeness is lost in the vicinity of the time machine it holds before the time machine appears and it is recove...
1992-09-14
2007-05-23
[ "gr-qc", "hep-th" ]
Dalia S. Goldwirth, Malcolm J. Perry and Tsvi Piran
gr-qc/9209004
A Quasilocal Test of the Finiteness of the Universe
The Cosmological Principle states that the universe is both homogeneous and isotropic. This, alone, is not enough to specify the global geometry of the spacetime. If we were able to measure both the Hubble constant and the energy density we could determine whether the universe is open or closed. Unfortunately, while so...
1992-09-11
2007-05-23
[ "gr-qc", "astro-ph" ]
Edward Malec and Niall \'O Murchadha
gr-qc/9209003
Transformations and BRST-Charges in 2+1 Dimensional Gravitation
Canonical transformations relating the variables of the ADM-, Ashtekar's and Witten's formulations of gravity are computed in 2+1~dimensions. Three different forms of the BRST-charge are given in the 2+1 dimensional Ashtekar formalism, two of them using Ashtekar's form of the constraints and one of them using the forms...
1992-09-08
2010-11-01
[ "gr-qc", "hep-th" ]
G\'eza F\"ul\"op
gr-qc/9209002
Results on exact solutions of low energy string theory
A family of solutions to low energy string theory is found. These solutions represent waves traveling along "extremal black strings"
1992-09-05
2009-10-22
[ "gr-qc" ]
David Garfinkle
gr-qc/9209001
Quantum Gravity, the Origin of Time and Time's Arrow
The local Lorentz and diffeomorphism symmetries of Einstein's gravitational theory are spontaneously broken by a Higgs mechanism by invoking a phase transition in the early Universe, at a critical temperature $T_c$ below which the symmetry is restored. The spontaneous breakdown of the vacuum state generates an external...
1992-09-02
2014-11-17
[ "gr-qc" ]
J. W. Moffat
gr-qc/9208011
Comparison of the Sachs-Wolfe Effect for Gaussian and Non-Gaussian Fluctuations
A consequence of non-Gaussian perturbations on the Sachs-Wolfe effect is studied. For a particular power spectrum, predicted Sachs-Wolfe effects are calculated for two cases: Gaussian (random phase) configuration, and a specific kind of non-Gaussian configuration. We obtain a result that the Sachs-Wolfe effect for the ...
1992-08-28
2009-12-30
[ "gr-qc", "astro-ph" ]
Jong H. Kung
gr-qc/9208010
Massive Analogue of Ashtekar-CJD Action
The action of Ashtekar gravity have been found by Cappovilla, Jacobson and Dell. It does not depend on the metric nor the signature of the space-time. The action has a similar structure as that of a massless relativistic particle. The former is naturally generalized by adding a term analogous to a mass term of the rela...
1992-08-25
2009-10-22
[ "gr-qc", "hep-th" ]
K.Kamimura and T.Fukuyama
gr-qc/9208009
The Entropy of the Gravitational Field
We derive a formula for the nonequilibrium entropy of a classical stochastic field in terms of correlation functions of this field. The formalism is then applied to define the entropy of gravitational perturbations (both gravitational waves and density fluctuations). We calculate this entropy in a specific cosmological...
1992-08-20
2009-10-22
[ "gr-qc", "astro-ph", "hep-th" ]
R. Brandenberger(Brown), T.Prokopec(Brown), V. Mukhanov(ETH, Zurich)
gr-qc/9208007
There is no $R^3 X S^1$ vacuum gravitational instanton
Gravitational instantons, solutions to the euclidean Einstein equations, with topology $R^3 XS^1$ arise naturally in any discussion of finite temperature quantum gravity. This Letter shows that all such instantons (irrespective of their interior behaviour) must have the same asymptotic structure as the Schwarzschild in...
1992-08-19
2009-10-22
[ "gr-qc", "hep-th" ]
Niall \'O Murchadha and Hugh Shanahan
gr-qc/9208008
Trapped surfaces and spherical closed cosmologies
This article gives necessary and sufficient conditions for the formation of trapped surfaces in spherically symmetric initial data defined on a closed manifold. Such trapped surfaces surround a region in which there occurs an enhancement of matter over the average. The conditions are posed directly in terms of physical...
1992-08-19
2009-10-22
[ "gr-qc", "astro-ph" ]
Edward Malec and Niall \'O Murchadha
gr-qc/9208005
Nonlinear Noise in Cosmology
This paper derives and analyzes exact, nonlocal Langevin equations appropriate in a cosmological setting to describe the interaction of some collective degree of freedom with a surrounding ``environment.'' Formally, these equations are much more general, involving as they do a more or less arbitrary ``system,'' charact...
1992-08-13
2009-10-22
[ "gr-qc" ]
Salman Habib and Henry E. Kandrup
gr-qc/9208006
Stochastic Inflation:The Quantum Phase Space Approach
In this paper a quantum mechanical phase space picture is constructed for coarse-grained free quantum fields in an inflationary Universe. The appropriate stochastic quantum Liouville equation is derived. Explicit solutions for the phase space quantum distribution function are found for the cases of power law and expone...
1992-08-13
2009-10-22
[ "gr-qc" ]
Salman Habib
gr-qc/9208004
The $D\to 2$ Limit of General Relativity
A method for taking the $D\to 2$ limit of D-dimensional general relativity is constructed, yielding a two-dimensional theory which couples gravitation to conserved stress-energy. We show how this theory is related to those obtained via an alternative dimensional reduction approach.
1992-08-13
2010-04-30
[ "gr-qc", "hep-th" ]
R.B. Mann and S.F. Ross
gr-qc/9208003
Generation of seed perturbations from Quantum Cosmology
The origin of seed perturbations in the Universe is studied within the framework of a specific minisuperspace model. It is shown that the `creation' of the Universe as a result of a quantum transition from a flat empty spacetime would lead to a flat FLRW (Friedmann Lema\^\i tre Robertson-Walker) Universe with weak inho...
1992-08-11
2008-11-26
[ "gr-qc", "astro-ph" ]
Tarun Souradeep
gr-qc/9208002
Thermodynamics of Two-Dimensional Black-Holes
We explore the thermodynamics of a general class of two dimensional dilatonic black-holes. A simple prescription is given that allows us to compute the mass, entropy and thermodynamic potentials, with results in agreement with those obtained by other methods, when available.
1992-08-11
2009-10-22
[ "gr-qc", "hep-th" ]
Chiara R. Nappi and Andrea Pasquinucci
gr-qc/9208001
The Interpretation of Quantum Cosmological Models
We consider the problem of extracting physical predictions from the wave function of the universe in quantum cosmological models. We state the features of quantum cosmology an interpretational scheme should confront. We discuss the Everett interpretation, and extensions of it, and their application to quantum cosmology...
1992-08-05
2007-05-23
[ "gr-qc", "hep-th" ]
Jonathan J. Halliwell
gr-qc/9207011
Centrifugal force in Kerr geometry
We have obtained the correct expression for the centrifugal force acting on a particle at the equatorial circumference of a rotating body in the locally non-rotating frame of the Kerr geometry. Using this expression for the equilibrium of an element on the surface of a slowly rotating Maclaurin spheroid, we obtain the ...
1992-07-31
2009-10-22
[ "gr-qc" ]
Sai Iyer and A R Prasanna
gr-qc/9207010
The Dirac Equation Is Separable On The Dyon Black Hole Metric
Using the tetrad formalism, we carry out the separation of variables for the massive complex Dirac equation in the gravitational and electromagnetic field of a four-parameter (mass, angular momentum, electric and magnetic charges) black hole.
1992-07-28
2016-08-17
[ "gr-qc" ]
\.Ibrahim Semiz (Yale U.)
gr-qc/9207008
The No-Hair Theorem for the Abelian Higgs Model
We consider the general procedure for proving no-hair theorems for static, spherically symmetric black holes. We apply this method to the abelian Higgs model and find a proof of the no-hair conjecture that circumvents the objections raised against the original proof due to Adler and Pearson.
1992-07-27
2009-10-22
[ "gr-qc" ]
Amitabha Lahiri
gr-qc/9207009
Gravitational Waves from an Axi-symmetric Source in the Nonsymmetric Grav. Theory
We examine gravitational waves in an isolated axi--symmetric reflexion symmetric NGT system. The structure of the vacuum field equations is analyzed and the exact solutions for the field variables in the metric tensor are found in the form of expansions in powers of a radial coordinate. We find that in the NGT axially ...
1992-07-27
2007-05-23
[ "gr-qc" ]
J. W. Moffat and D. C. Tatarski
gr-qc/9207007
Comments on Theoretical Problems in Nonsymmetric Gravitational Theory
Damour, Deser and McCarthy have claimed that the nonsymmetric gravitational theory (NGT) is untenable due to curvature coupled ghost modes and bad asymptotic behavior. This claim is false for it is based on a physically inaccurate treatment of wave propagation on a curved background and an incorrect method for extracti...
1992-07-24
2009-10-22
[ "gr-qc", "astro-ph" ]
N. J. Cornish and J. W. Moffat
gr-qc/9207004
One Formulation for both Lineal Gravities through a Dimensional Reduction
The two lineal gravities --- based on the de Sitter group or a central extension of the Poincar\'e group in 1+1 dimensions --- are shown to derive classically from a unique topological gauge theory. This one is obtained after a dimensional reduction of a Chern--Simons model, which describes pure gravity in 2+1 dimensio...
1992-07-23
2016-08-31
[ "gr-qc", "hep-th" ]
Daniel Cangemi
gr-qc/9207006
The Spin Holonomy Group In General Relativity
It has recently been shown by Goldberg et al that the holonomy group of the chiral spin-connection is preserved under time evolution in vacuum general relativity. Here, the underlying reason for the time-independence of the holonomy group is traced to the self-duality of the curvature 2-form for an Einstein space. This...
1992-07-23
2009-10-22
[ "gr-qc" ]
Ted Jacobson and Joseph D. Romano
gr-qc/9207005
Degenerate Extensions of General Relativity
General relativity has previously been extended to incorporate degenerate metrics using Ashtekar's hamiltonian formulation of the theory. In this letter, we show that a natural alternative choice for the form of the hamiltonian constraints leads to a theory which agrees with GR for non-degenerate metrics, but differs i...
1992-07-23
2010-04-06
[ "gr-qc" ]
Ted Jacobson and Joseph D. Romano
gr-qc/9207003
Nonsymmetric Gravity Theories: Inconsistencies and a Cure
Motivated by the apparent dependence of string $\sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric. We first show that all such "geometrical" theories homogeneous in second derivatives violate standard physical requiremen...
1992-07-22
2008-11-26
[ "gr-qc" ]
T. Damour (IHES and DARC) S. Deser (Brandeis University) J. McCarthy (University of Adelaide)
gr-qc/9207002
Remarks on Pure Spin Connection Formulations of Gravity
In the derivation of a pure spin connection action functional for gravity two methods have been proposed. The first starts from a first order lagrangian formulation, the second from a hamiltonian formulation. In this note we show that they lead to identical results for the specific cases of pure gravity with or without...
1992-07-21
2010-11-01
[ "gr-qc" ]
Riccardo Capovilla and Ted Jacobson
gr-qc/9207001
Non-Minimally Coupled Scalar Field and Ashtekar Variables
The non-minimal coupling of a scalar field is considered in the framework of Ashtekar's new variables formulation of gravity. A first order action functional for this system is derived in which the field variables are a tetrad field, and an SL(2,C) connection, together with the scalar field. The tetrad field and the SL...
1992-07-20
2010-11-01
[ "gr-qc" ]
Riccardo Capovilla
hep-lat/9212034
On the Dynamics of Light Quarks in QCD
We describe recent results concerning the behavior of lattice QCD with light dynamical Wilson and Staggered quarks. We show that it is possible to reach regions of parameter space with light pions $m_\pi\approx 0.2/a$ using Wilson fermions. If the Hybrid Molecular Dynamics (HMD) algorithm is used with the same paramete...
1992-12-24
2016-08-31
[ "hep-lat" ]
Khalil Bitar, Robert G. Edwards, Urs M. Heller, and A.D. Kennedy
hep-lat/9212035
Calculating the Isgur-Wise Function on the Lattice
We calculate the Isgur-Wise function by measuring the heavy-heavy meson transition matrix element on the lattice. The standard Wilson action is used for both the heavy and light quarks. Our first numerical results are presented.
1992-12-24
2009-10-22
[ "hep-lat", "hep-ph" ]
Claude Bernard, Yue Shen and Amarjit Soni
hep-lat/9212033
A realistic heat bath: theory and application to kink-antikink dynamics
We propose a new method of studying a real-time canonical evolution of field-theoretic systems with boundary coupling to a realistic heat bath. In the free-field case the method is equivalent to an infinite extension of the system beyond the boundary, while in the interacting case the extension of the system is done in...
1992-12-24
2010-11-01
[ "hep-lat", "cond-mat", "hep-th" ]
A. Krasnitz and R. Potting
hep-lat/9212032
Series studies of the Potts model. I: The simple cubic Ising model
The finite lattice method of series expansion is generalised to the $q$-state Potts model on the simple cubic lattice. It is found that the computational effort grows exponentially with the square of the number of series terms obtained, unlike two-dimensional lattices where the computational requirements grow exponen...
1992-12-24
2011-07-19
[ "hep-lat" ]
A J Guttmann and I G Enting
hep-lat/9212031
Hadron Mass Predictions of the Valence Approximation to Lattice QCD
We evaluate the infinite volume, continuum limits of eight hadron mass ratios predicted by lattice QCD with Wilson quarks in the valence (quenched) approximation. Each predicted ratio differs from the corresponding observed value by less than 6\%.
1992-12-22
2009-10-22
[ "hep-lat", "hep-ph" ]
F. Butler, H. Chen, J. Sexton, A. Vaccarino, and D. Weingarten
hep-lat/9212029
Strongly Interacting Higgs Sector in the Minimal Standard Model?
The triviality Higgs mass bound is studied {\it without} lattice regulator in the spontaneously broken phase of the four dimensional O(4) symmetric scalar field theory with quartic self-interaction. A higher derivative term is introduced in the kinetic energy of the Lagrangian to keep quantum fluctuations finite while ...
1992-12-21
2007-05-23
[ "hep-lat" ]
Karl Jansen, Julius Kuti and Chuan Liu
hep-lat/9212028
Large scale numerical simulation of the three-state Potts model
The three-state Potts model is numerically investigated on three-dimensional simple cubic lattices of up to \(128^3\) volume, concentrating on the neighborhood of the first-order phase transition separating the ordered and disordered phases. The ordered phase is found to allow admixture of disordered domains induced by...
1992-12-21
2009-10-22
[ "hep-lat" ]
Shigemi Ohta
hep-lat/9212030
Chiral Fermions, Anomalies and Chern-Simons Currents on the Lattice
I discuss the zeromode spectrum of lattice chiral fermions in the domain wall model suggested recently. In particular I give the critical momenta where the fermions cease to be chiral and show that the spectrum is directly related to the behaviour of the Chern-Simons current on the lattice. First results for the domain...
1992-12-21
2009-10-22
[ "hep-lat" ]
Karl Jansen
hep-lat/9212027
The Spectrum of the Kazakov Migdal-Model
Gross has found an exact expression for the density of eigenvalues in the simplest version of the Kazakov-Migdal model of induced QCD. In this paper we compute the spectrum of small fluctuations around Gross's semi-circular solution. By solving Migdal's wave equation we find a string-like spectrum which, in four dimens...
1992-12-20
2009-10-22
[ "hep-lat", "hep-th" ]
S. Aoki and A. Gocksch
hep-lat/9212024
How much are 2d Yukawa models similar to the Gross-Neveu models?
We present numerical evidence that the 2d Yukawa models with strong quartic selfcoupling of the scalar field have the same phase structure and are asymptotically free in the Yukawa coupling like the Gross-Neveu models.
1992-12-18
2009-10-22
[ "hep-lat" ]
A.K. De, E. Focht, W. Franzki and J. Jersak
hep-lat/9212022
Finite size and temperature effects in the AF Heisenberg model
The low temperature and large volume effects in the d=2+1 antiferromagnetic quantum Heisenberg model are dominated by magnon excitations. The leading and next-to-leading corrections are fully controlled by three physical constants, the spin stiffness, the spin wave velocity and the staggered magnetization. Among others...
1992-12-18
2009-10-22
[ "hep-lat", "cond-mat" ]
P. Hasenfratz and F. Niedermayer (Bern)
hep-lat/9212023
Cosmic Strings on the Lattice
We develop a formalism for the quantization of topologically stable excitations in the 4-dimensional abelian lattice gauge theory. The excitations are global and local (Abrikosov-Nielsen-Olesen) strings and monopoles. The operators of creation and annihilation of string states are constructed; the string Green function...
1992-12-18
2009-10-22
[ "hep-lat" ]
A.K. Bukenov, A.V. Pochinsky, M.I. Polikarpov, L. Polley and U.-J. Wiese
hep-lat/9212026
Can the Couplings in the Fermion-Higgs Sector of the Standard Model be Strong?
We present results for the renormalized quartic self-coupling $\lambda_R$ and the Yukawa coupling $y_R$ in a lattice fermion-Higgs model with two SU(2)$_L$ doublets, mostly for large values of the bare couplings. One-component (`reduced') staggered fermions are used in a numerical simulation with the Hybrid Monte Carlo...
1992-12-18
2009-10-22
[ "hep-lat", "hep-ph" ]
Wolfgang Bock, Christoph Frick, Jan Smit and Jeroen C. Vink
hep-lat/9212025
The Shifted Coupled Cluster Method: A New Approach to Hamiltonian Lattice Gauge Theories
It is shown how to adapt the non-perturbative coupled cluster method of many-body theory so that it may be successfully applied to Hamiltonian lattice $SU(N)$ gauge theories. The procedure involves first writing the wavefunctions for the vacuum and excited states in terms of linked clusters of gauge invariant excitatio...
1992-12-18
2009-10-22
[ "hep-lat", "hep-ph" ]
C.H.Llewellyn Smith and N.J.Watson
hep-lat/9212020
Large N Lattice QED
We study the $\beta, N$ critical behaviour of non compact QED with $N$ species of light fermions, using a method we have proposed for unquenched simulations. We find that there exist two phase transition lines: one, second order, and the other, first order, that approaches asymptotically the $\beta=0$ axis. These two l...
1992-12-17
2009-10-22
[ "hep-lat" ]
V. Azcoiti, G. Di Carlo and A.F. Grillo
hep-lat/9212021
Multigrid Methods for the Computation of Propagators in Gauge Fields
NOTE: this is a shortened version of the abstract of the paper. Multigrid methods for propagators in gauge fields are investigated. Gauge fields are incorporated in algorithms in a covariant way. This avoids the necessity for gauge fixing in computations of propagators. The kernel $C$ of the restriction operator ...
1992-12-17
2015-06-25
[ "hep-lat" ]
Thomas Kalkreuter
hep-lat/9212019
Infinitely many regulator fields for chiral fermions
We show that two recent independent proposals for regularizing a chiral gauge theory stem from one common trick. If the anomaly free complex representation carried by the right handed fermi--fields is $r$ one constructs a vector like theory with flavored right handed fermionic matter in $r+\bar r$ but with a mass matri...
1992-12-15
2009-10-22
[ "hep-lat", "hep-ph", "hep-th" ]
Rajamani Narayanan and Herbert Neuberger
hep-lat/9212018
Heavy Quark Physics
Lattice calculations of heavy quark systems provide very good measures of the lattice spacing, a key element in recent determinations of the strong coupling constant using lattice methods. They also provide excellent testing grounds for lattice methods in general. I review recent phenomenological and technical developm...
1992-12-14
2010-11-01
[ "hep-lat" ]
Paul B. Mackenzie
hep-lat/9212017
Progress in Lattice Field Theory Algorithms
I present a summary of recent algorithmic developments for lattice field theories. In particular I give a pedagogical introduction to the new Multicanonical algorithm, and discuss the relation between the Hybrid Overrelaxation and Hybrid Monte Carlo algorithms. I also attempt to clarify the role of the dynamical critic...
1992-12-14
2009-10-22
[ "hep-lat" ]
A. D. Kennedy
hep-lat/9212016
Baryon Octet to Decuplet Electromagnetic Transitions
The electromagnetic transition moments of the $SU(3)$-flavor baryon octet to decuplet are examined within a lattice simulation of quenched QCD. The magnetic transition moment for the $N \; \gamma \to \Delta$ channel is found to be in agreement with recent experimental analyses. The lattice results indicate $\mu_{p \Del...
1992-12-13
2008-11-26
[ "hep-lat", "hep-ph" ]
Derek B. Leinweber, Terrence Draper and R.M. Woloshyn
hep-lat/9212015
Mass Spectrum and Bounds on the Couplings in Yukawa Models With Mirror-Fermions
The $\rm SU(2)_L\otimes SU(2)_R$ symmetric Yukawa model with mirror-fermions in the limit where the mirror-fermion is decoupled is studied both analytically and numerically. The bare scalar self-coupling $\lambda$ is fixed at zero and infinity. The phase structure is explored and the relevant phase transition is found ...
1992-12-12
2010-12-23
[ "hep-lat" ]
L. Lin, G. M\"unster, M. Plagge, I. Montvay, H. Wittig, C. Frick, T. Trappenberg
hep-lat/9212014
A New Action for Heavy Lattice Fermions
I describe a unified formalism for lattice fermions, in which the relativistic action of Wilson and the nonrelativistic and static actions appear as special cases. It is valid at all values of $m_q a$, including $m_q a \approx 1$. In the limit $m_q a \ll 1 $, the formulation reduces to the light quark action of Wilson....
1992-12-11
2008-02-03
[ "hep-lat" ]
Paul B. Mackenzie
hep-lat/9212013
Finite-Size Effects in the Interface of 3D Ising Model
The interface between domains of opposite magnetization in the 3D Ising model near the critical temperature displays universal finite-size effects which can be described in terms of a gaussian model of capillary waves. It turns out that these finite-size corrections depend rather strongly on the shape of the lattice. T...
1992-12-11
2009-10-22
[ "hep-lat", "cond-mat", "hep-th" ]
M.Caselle, F.Gliozzi and S.Vinti
hep-lat/9212010
The Euclidean Spectrum of Kaplan's Lattice Chiral Fermions
We consider the (2n+1)-dimensional euclidean Dirac operator with a mass term that looks like a domain wall, recently proposed by Kaplan to describe chiral fermions in $2n$ dimensions. In the continuum case we show that the euclidean spectrum contains {\it no} bound states with non-zero momentum. On the lattice, a bound...
1992-12-10
2009-10-22
[ "hep-lat", "hep-ph" ]
Yigal Shamir
hep-lat/9212009
Autocorrelation in Updating Pure SU(3) Lattice Gauge Theory by the use of Overrelaxed Algorithms
We measure the sweep-to-sweep autocorrelations of blocked loops below and above the deconfinement transition for SU(3) on a $16^4$ lattice using 20000-140000 Monte-Carlo updating sweeps. A divergence of the autocorrelation time toward the critical $\beta$ is seen at high blocking levels. The peak is near $\beta$ = 6.33...
1992-12-10
2009-10-22
[ "hep-lat" ]
K. Akemi, Ph. deForcrand, M. Fujisaki, T. Hashimoto, H.C. Hege, S. Hioki, O. Miyamura, A. Nakamura, M. Okuda I.O. Stamatescu, Y. Tago and T. Takaishi
hep-lat/9212012
Possible Failure of Asymptotic Freedom in Two-Dimensional $RP^2$ and $RP^3$ $\sigma$-Models
We have simulated the two-dimensional $RP^2$ and $RP^3$ $\sigma$-models, at correlation lengths up to about 220 (resp.\ 30), using a Wolff-type embedding algorithm. We see no evidence of asymptotic scaling. Indeed, the data rule out the conventional asymptotic scaling scenario at all correlation lengths less than about...
1992-12-10
2009-10-22
[ "hep-lat" ]
S. Caracciolo, R. G. Edwards, A. Pelissetto and A. D. Sokal
hep-lat/9212011
Phase Structure of Compact $QED_3$ with Massless Fermions
In the framework of (2+1)-dimensional compact lattice QED with light fermions, we investigate the phase diagram in the $(\beta, N)$ plane. The approximations involved are related to an expansion of the effective fermionic action as a power series of the flavor number $N$. We also develop a new mechanism for understandi...
1992-12-10
2015-06-25
[ "hep-lat" ]
V. Azcoiti and X.Q. Luo
hep-lat/9212008
Renormalization Group Flow in non-compact QED with two charged staggered Fermions
We have investigated a system with two sets of staggered fermions with charges 1 and -1/2 coupling to a non-compact U(1) gauge field in 4 dimensions. The model exhibits breaking of chiral symmetries of both fermions at different values of beta. Chiral condensates, renormalized fermion masses and renormalized charges ha...
1992-12-08
2009-10-22
[ "hep-lat" ]
Arifa Ali Khan (HLRZ Juelich)
hep-lat/9212007
INvestigation Of The Biconjugate Gradient Algorithm For The Inversion Of Fermion Matrices
An algorithm for the numerical inversion of large matrices, the biconjugate gradient algorithm (BGA), is investigated in view of its use for Monte Carlo simulations of fermionic field theories. It is compared with the usual conjugate gradient algorithm (CGA) and the minimal residue algorithm (MRA) within a Higgs-Yukawa...
1992-12-08
2007-05-23
[ "hep-lat" ]
Markus Plagge
hep-lat/9212006
The Crumpling Transition Revisited
The ``crumpling" transition, between rigid and crumpled surfaces, has been object of much discussion over the past years. The common lore is that such transition should be of second order. However, some lattice versions of the rigidity term on fixed connectivity surfaces seem to suggest that the transition is of higher...
1992-12-08
2009-10-22
[ "hep-lat", "hep-th" ]
M. Baig and D. Espriu
hep-lat/9212005
Gauge fixing and Gribov copies in pure Yang-Mills on a circle
%In order to understand how gauge fixing can be affected on the %lattice, we first study a simple model of pure Yang-mills theory on a %cylindrical spacetime [$SU(N)$ on $S^1 \times$ {\bf R}] where the %gauge fixed subspace is explicitly displayed. On the way, we find that %different gauge fixing procedures lead to dif...
1992-12-07
2009-10-22
[ "hep-lat", "hep-th" ]
James E. Hetrick
hep-lat/9212004
Magnetic Monopoles in non-compact QED - is there a Phase Transition?
The existence of the monopole condensation transition reported by Kocic et al. in non-compact, quenched QED is tested. No phase transition is found. This shows that divergence of the `monopole susceptibility' introduced by Hands and Wensley is not a reliable indicator of second order phase transitions. In view of the...
1992-12-06
2008-11-26
[ "hep-lat" ]
P.E.L. Rakow
hep-lat/9212003
Kazakov-Migdal Induced Gauge Theory and the Coupling of 2D Quantum Gravity to D=1 Matter
Recently Kazakov and Migdal proposed a new approach to the large $N$ limit of SU(N) gauge theories which could hopefully describe the asymptotically free fixed point of QCD in 4 dimensions. In this contribution we review the exact solution of their model in the case of a $d=1$ compactified lattice and its connection wi...
1992-12-02
2009-10-22
[ "hep-lat" ]
M. Caselle, A. D'Adda and S. Panzeri
hep-lat/9212002
Dirac Strings and the Nonperturbative Photon Propagator in Compact QED
A ``3D'' Mathematica@-generated picture of monopoles and Dirac strings in $D=2+1$ compact QED is given. In the Villain approximation, the monopole part of the partition function factorizes from the Dirac string part, which generates the photon propagator. Numerical experiments in exact compact QED confirm this result: ...
1992-12-02
2008-02-03
[ "hep-lat", "cond-mat" ]
Ken Yee
hep-lat/9212001
Chiral fermions in two dimensions?
Quenched studies of a global U(1) symmetric Wilson-Yukawa model in two dimensions show no evidence of a charged fermion in the vortex phase at strong Wilson-Yukawa coupling while there is strong indication of a massive neutral fermion. However, with the U(1)$_L$ gauge field turned on, we use dimensional arguments to su...
1992-12-01
2009-10-22
[ "hep-lat" ]
Wolfgang Bock, Asit K. De, Erich Focht and Jan Smit
hep-lat/9211066
Running Coupling in pure gauge theories using the Schr\"odinger functional
Schr\"odinger functional, the propagation kernel for going from some field configuration at time $x^0=0$ to some other configuration at $x^0=T$, is used to define a running coupling, $\bar g^2(L)$, at a length scale, $L$, in pure gauge theories. Using a lattice formulation and finite size scaling techniques, this runni...
1992-11-30
2007-05-23
[ "hep-lat" ]
Rajamani Narayanan
hep-lat/9211062
Algebraic Techniques for Enumerating Self-Avoiding Walks on the Square Lattice
We describe a new algebraic technique for enumerating self-avoiding walks on the rectangular lattice. The computational complexity of enumerating walks of $N$ steps is of order $3^{N/4}$ times a polynomial in $N$, and so the approach is greatly superior to direct counting techniques. We have enumerated walks of up to 3...
1992-11-27
2008-11-26
[ "hep-lat" ]
A R Conway, I G Enting and A J Guttmann