Gaussian approximation of the (2 + 1)-dimensional Gross-Neveu model
- 15 February 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 41 (4) , 1345-1348
- https://doi.org/10.1103/physrevd.41.1345
Abstract
The (2 + 1)-dimensional Gross-Neveu model is analyzed by the Gaussian approximation in the functional Schrödinger 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.Keywords
This publication has 20 references indexed in Scilit:
- Gaussian approximation of the Gross-Neveu model in the functional Schrödinger picturePhysical Review D, 1989
- Functional representation for fermionic quantum fieldsPhysical Review D, 1988
- Variational analysis of the Gross-Neveu model in anspacePhysical Review D, 1988
- Variational methods in supersymmetric lattice field theory: The vacuum sectorPhysical Review D, 1987
- Renormalizability of the time-dependent variational equations in quantum field theoryPhysical Review D, 1987
- O(N)-symmetric λtheory: The Gaussian-effective-potential approachPhysical Review D, 1987
- Gaussian analysis of the Gross-Neveu modelPhysical Review D, 1986
- Gaussian effective potential. II. λfield theoryPhysical Review D, 1985
- Renormalization of trial wave functionals using the effective potentialPhysical Review D, 1980
- Time-dependent variational principle and the effective actionPhysics Letters A, 1979