Phase structure of the Schwinger model on the lattice with Wilson fermions in the Hartree-Fock approximation

Journal Article · Mon Apr 01 04:00:00 EST 1996 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.53.3808· OSTI ID:279845

Horvath, I ^[1]

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1. Supercomputer Computations Research Institute, Florida State University, Tallahassee, Florida 32306-4052 (United States)

The phase diagram of the Schwinger model on the lattice with one and two degenerate flavors of Wilson fermions is investigated in the Hartree-Fock approximation. In the case of a single flavor (not directly amenable to numerical simulation), the calculation indicates the existence of the parity-violating phase at both weak and intermediate-to-strong couplings. In the broken phase, the Hartree-Fock vacuum sustains a nonzero electric field. With two flavors, parity is not broken at weak coupling. However, both parity and flavor become spontaneously broken at the Hartree-Fock level as the coupling becomes strong. {copyright} {ital 1996 The American Physical Society.}

• Research Organization: Florida State University
• DOE Contract Number: FG05-85ER25000; FG05-92ER40742
• OSTI ID: 279845
• Journal Information: Physical Review, D, Journal Name: Physical Review, D Journal Issue: 7 Vol. 53; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
COUPLING
ELECTRIC FIELDS
FERMIONS
HARTREE-FOCK METHOD
LATTICE FIELD THEORY
P INVARIANCE
PHASE STUDIES
QUANTUM CHROMODYNAMICS
SYMMETRY BREAKING