Gaussian approximation of the (2+1)-dimensional Gross-Neveu model

The (2+1)-dimensional Gross-Neveu model is analyzed by the Gaussian approximation in the functional Schroedinger picture. It is shown that the Gaussian effective potential implies the existence of two phases, and one of them is inconsistent. In the phase where the bare coupling constant approaches p...

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Bibliographic Details
Published in:Physical review. D, Particles and fields Particles and fields, 1990-02, Vol.41 (4), p.1345-1348
Main Authors: KIM, S. K, SOH, K. S, YEE, J. H
Format: Article
Language:English
Subjects:
645300 > High Energy Physics-- Particle Invariance Principles & Symmetries
Classical and quantum physics: mechanics and fields
COUPLING CONSTANTS
Exact sciences and technology
FERMIONS
FIELD THEORIES
GAUSSIAN PROCESSES
HAMILTONIANS
MATHEMATICAL OPERATORS
Physics
PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS 645400 > High Energy Physics-- Field Theory
RENORMALIZATION
SCHROEDINGER PICTURE
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS
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Summary:The (2+1)-dimensional Gross-Neveu model is analyzed by the Gaussian approximation in the functional Schroedinger picture. It is shown that the Gaussian effective potential implies the existence of two phases, and one of them is inconsistent. In the phase where the bare coupling constant approaches positive infinitesimal, the effective potential shows the existence of dynamical symmetry breaking when the renormalized coupling constant is negative.
ISSN:0556-2821
1089-4918
DOI:10.1103/PhysRevD.41.1345