The Phase Structure of the Schwinger Model on the Lattice with Wilson Fermions in the Hartree-Fock Approximation

Abstract

The phase diagram of the Schwinger model on the lattice with one and two degenerate flavours of Wilson fermions is investigated in the Hartree-Fock approximation. In case of a single flavour (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 flavours, parity is not broken at weak coupling. However, both parity and flavour become spontaneously broken at the Hartree-Fock level as the coupling becomes strong.

42 pages, TEX, ps figures imported by source using epsf

References in corpus (10)

• A Method for Simulating Chiral Fermions on the Lattice
• The Massive Multi-flavor Schwinger Model
• Quark Masses and Chiral Symmetry
• Surface states and chiral symmetry on the lattice
• Functional Integral Approach to the N-Flavor Schwinger Model
• Chiral symmetry on the lattice
• The Schwinger Model on the lattice in the Microcanonical Fermionic Average approach
• Lee-Yang zeroes in the one flavour massive lattice Schwinger model
• Spontaneous Breaking of Flavor Symmetry and Parity in the Nambu-Jona-Lasinio Model with Wilson Fermions
• A Study of the Nambu--Jona-Lasinio Model on the Lattice

Cited by in corpus (5)

• Bosonized Massive N-flavor Schwinger Model
• Absence of Parity-Flavor Breaking Phase in QCD with two Flavors of Wilson fermions for beta greater than or equal to 5.0
• Kondo effect with Wilson fermions
• Anomalous Behavior in the Massive Schwinger Model
• Dynamical Wilson fermions and the problem of the chiral limit in compact lattice QED