On the phase structure of QCD with Wilson fermions

Abstract

The phase structure of lattice QCD with Wilson fermions is discussed. Analytic and numerical evidences are given for the spontaneous breaking of parity and flavor symmetry, which naturally explains the existence of the massless pion at the critical hopping parameter $K_c$ without recourse to the chiral symmetry absent in the Wilson fermion formulation. New numerical evidences are also presented for the multiple structure of the critical lines in the weak coupling region. A connection between the phase structure and the finite temperature phase transition is briefly mentioned.

arXiv comment14 pages (6 figures), latex (epsf style-file needed), talk presented at ''QCD on massively parallel computers'' (Yamagata, Japan, March 16-18 1995)

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• Chiral perturbation theory at O(a^2) for lattice QCD
• Twisted mass chiral perturbation theory at next-to-leading order
• The phase diagram of twisted mass lattice QCD
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• Chiral perturbation theory with Wilson-type fermions including $a^2$ effects: $N_f=2$ degenerate case
• Finite-Temperature QCD on the Lattice
• Discretization errors in the spectrum of the Hermitian Wilson-Dirac operator
• Observations on discretization errors in twisted-mass lattice QCD
• On the consistency of the Aoki-phase
• Anderson transition and multifractals in the spectrum of the Dirac operator of Quantum Chromodynamics at high temperature
• Light hadron spectroscopy in two-flavor QCD with small sea quark masses
• Structure of Critical Lines in Quenched Lattice QCD with the Wilson Quark Action
• Chiral perturbation theory at non-zero lattice spacing
• Determination of Low-Energy Constants of Wilson Chiral Perturbation Theory
• A new method to measure the chiral condensate in lattice QCD using Wilson fermions
• Exploration of SU(N_c) gauge theory with many Wilson fermions at strong coupling
• Phase Structure of Lattice QCD with Wilson fermion at Finite Temperature
• Absence of Parity-Flavor Breaking Phase in QCD with two Flavors of Wilson fermions for beta greater than or equal to 5.0
• On the Vafa-Witten Theorem on Spontaneous Breaking of Parity
• Predicting the Aoki Phase using the Chiral Lagrangian
• The Weakly Coupled Gross-Neveu Model with Wilson Fermions
• The Structure of the Aoki Phase at Weak Coupling
• Dynamical Wilson fermions and the problem of the chiral limit in compact lattice QED
• Low-energy constant $L_{10}$ in a two-representation lattice theory
• Impossibility of spontaneous vector flavor symmetry breaking on the lattice
• Passing through the `chiral limit' in quenched QCD with Wilson fermions