't Hooft vertices, partial quenching, and rooted staggered QCD

dc.creatorBernard, Claude
dc.creatorGolterman, Maarten
dc.creatorShamir, Yigal
dc.creatorSharpe, Stephen
dc.date2007-11-05
dc.date2008-05-07
dc.date.accessioned2026-07-07T11:38:33Z
dc.date.available2026-07-07T11:38:33Z
dc.descriptionWe discuss the properties of 't Hooft vertices in partially quenched and rooted versions of QCD in the continuum. These theories have a physical subspace, equivalent to ordinary QCD, that is contained within a larger space that includes many unphysical correlation functions. We find that the 't Hooft vertices in the physical subspace have the expected form, despite the presence of unphysical 't Hooft vertices appearing in correlation functions that have an excess of valence quarks (or ghost quarks). We resolve an apparent paradox that arises when one uses rooted staggered fermions to study one-flavor QCD, by showing how, in partially quenched theories, it is possible to have spontaneous symmetry breaking of a non-anomalous symmetry in finite volume. Using these results, we demonstrate that arguments recently given by Creutz--claiming to disprove the validity of rooted staggered QCD--are incorrect. In particular, the unphysical 't Hooft vertices do not present an obstacle to the recovery of taste symmetry in the continuum limit.
dc.description19 pages, revtex, shortened version to appear in Phys. Rev. D
dc.identifierhttps://arxiv.org/abs/0711.0696
dc.identifierhttp://arxiv.org/abs/0711.0696
dc.identifierPhys.Rev.D77:114504,2008
dc.identifierdoi:10.1103/PhysRevD.77.114504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199604
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.title't Hooft vertices, partial quenching, and rooted staggered QCD
dc.typetext

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