Elucidating the Vacuum Structure of the Aoki Phase

Abstract

In this paper, we discuss the vacuum structure of QCD with two flavors of Wilson fermions, inside the Aoki phase. We provide numerical evidence, coming from HMC simulations in $4^4$, $6^4$ and $8^4$ lattices, supporting a vacuum structure for this model at strong coupling more complex than the one assumed in the standard wisdom, with new vacua where the expectation value of $i\bar{\psi }{\gamma }_5\psi$ can take non-zero values, and which can not be connected with the Aoki vacua by parity-flavour symmetry transformations.

27 pages, 8 figures, 4 tables, v2: 1. Modifies abstract and layout and 2. revises conclusions, v3: Includes new section with discussion on our results and WChPT, other minor modifications, v4: Introduces new section discussing the presence of critical lines within the Aoki phase

References in corpus (5)

• A numerical reinvestigation of the Aoki phase with N_f=2 Wilson fermions at zero temperature
• On the consistency of the Aoki-phase
• The Realization of the Sharpe-Singleton Scenario
• QCD with two flavors of Wilson fermions: The QCD vacuum, the Aoki vacuum and other vacua
• Parity Realization in Lattice QCD with Ginsparg-Wilson Fermions

Cited by in corpus (5)

• Kondo effect with Wilson fermions
• Chiral Dynamics With Wilson Fermions
• Impossibility of spontaneous vector flavor symmetry breaking on the lattice
• Phase structure of a generalized Nambu Jona-Lasinio model with Wilson fermions in the mean field or large $N$-expansion
• Phase diagram of the single-flavor Gross--Neveu--Wilson model from the Grassmann corner transfer matrix renormalization group