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

Journal Article · Thu Feb 15 04:00:00 EST 1990 · Physical Review, D (Particles Fields); (USA)

DOI:https://doi.org/10.1103/PhysRevD.41.1345· OSTI ID:6849674

Kim, S K ^[1]; Soh, K S ^[2]; Yee, J H ^[3]

---

1. Department of Physics, Ehwa Women's University, Seoul 120-750, (Korea)
2. Department of Physics Education, Seoul National University, Seoul 151-742, (Korea)
3. Department of Physics, Yonsei University, Seoul 120-749, (Korea)

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.

• OSTI ID: 6849674
• Journal Information: Physical Review, D (Particles Fields); (USA), Journal Name: Physical Review, D (Particles Fields); (USA) Vol. 41:4; ISSN PRVDA; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

645300 -- High Energy Physics-- Particle Invariance Principles & Symmetries
645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COUPLING CONSTANTS
FERMIONS
FIELD THEORIES
GAUSSIAN PROCESSES
HAMILTONIANS
MATHEMATICAL OPERATORS
POTENTIALS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
RENORMALIZATION
SCHROEDINGER PICTURE
SYMMETRY BREAKING
THREE-DIMENSIONAL CALCULATIONS
VARIATIONAL METHODS