A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature

2003/09/30 by E. -M. Ilgenfritz, W. Kerler, M. Mueller-Preussker +2
Physics and Astronomy · #hep-lat

paper · pdf · doi:10.1103/physrevd.69.074511

published as Phys.Rev. D69 (2004) 074511 · 8 pages, 5 figures, Revised version as to be published in Phys.Rev.D

arxiv created 2004/05/03 · arxiv updated 2009/12/01

Abstract

We report on a numerical reinvestigation of the Aoki phase in lattice QCD with two flavors of Wilson fermions where the parity-flavor symmetry is spontaneously broken. For this purpose an explicitly symmetry-breaking source term hψ i γ₅ τ³ψ was added to the fermion action. The order parameter <ψ i γ₅τ³ψ> was computed with the Hybrid Monte Carlo algorithm at several values of (β,κ,h) on lattices of sizes 4⁴ to 12⁴ and extrapolated to h=0. The existence of a parity-flavor breaking phase can be confirmed at β=4.0 and 4.3, while we do not find parity-flavor breaking at β=4.6 and 5.0.

Related

• Probing the Aoki phase with N_f=2 Wilson fermions at finite temperature
• Wilson Fermions at finite temperature
• Non-trivial phase structure of N_f=3 QCD with O(a)-improved Wilson fermion at zero temperature
• Finite temperature phase transition with two flavors of improved Wilson fermions
• The QCD Deconfinement Critical Point for N_f=2 Flavors of Staggered Fermions