Gaussian approximation of the Gross-Neveu model in the functional Schroedinger picture
Journal Article
·
· Physical Review (Section) D: Particles and Fields; (USA)
- Department of Physics, Ehwa Women's University, Seoul 120-750, Korea (KR)
- Department of Physics Education, Seoul National University, Seoul 151-742, Korea
- Department of Physics, Yonsei University, Seoul 120-749, Korea
The Gross-Neveu model is analyzed by the Gaussian approximation in the functional Schroedinger picture. It is shown that in the large-{ital N} limit the Gaussian approximation exactly reproduces the Gross-Neveu results, but for finite {ital N} it contains more information than the large-{ital N} approximation. There are two nontrivial phases of the theory depending upon the sign of the infinitesimal bare coupling constant. Dynamical symmetry breaking occurs in one of the phases. We also apply our analysis to the chiral Gross-Neveu model.
- OSTI ID:
- 5286025
- Journal Information:
- Physical Review (Section) D: Particles and Fields; (USA), Journal Name: Physical Review (Section) D: Particles and Fields; (USA) Vol. 40:8; ISSN PRVDA; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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