QCD with two flavors of Wilson fermions: The QCD vacuum, the Aoki vacuum and other vacua

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dc.creatorAzcoiti, V.
dc.creatorDi Carlo, G.
dc.creatorVaquero, A.
dc.date2008-09-17
dc.date2009-01-23
dc.date.accessioned2026-07-07T12:46:30Z
dc.date.available2026-07-07T12:46:30Z
dc.descriptionWe discuss the vacuum structure of QCD with two flavors of Wilson fermions. We derive two possible scenarios: (i) If the spectral density $ρ_U(λ,κ)$ of the overlap hamiltonian in a fixed background gauge field is not symmetric in $λ$, Hermiticity is violated and Hermiticity violation effects could influence numerical determinations of the $η$ meson mass if we are not near enough to the continuum limit, where Hermiticity should be recovered; (ii) otherwise we argue that, under certain assumptions, new phases appear beside the Aoki phase, which can be characterized by a nonvanishing vacuum expectation value of $i\barψ_uγ_5ψ_u+i\barψ_dγ_5ψ_d$, and with vacuum states that cannot be connected with the Aoki vacua by parity-flavor symmetry transformations. Quenched numerical simulations suggest that the second scenario is more likely realized.
dc.description9 pages, 6 figures, to be published in Physical Review D1
dc.identifierhttps://arxiv.org/abs/0809.2972
dc.identifierhttp://arxiv.org/abs/0809.2972
dc.identifierPhys.Rev.D79:014509,2009
dc.identifierdoi:10.1103/PhysRevD.79.014509
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/221403
dc.subjectHigh Energy Physics - Lattice
dc.titleQCD with two flavors of Wilson fermions: The QCD vacuum, the Aoki vacuum and other vacua
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