Finite volume effects in a quenched lattice-QCD quark propagator

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dc.creatorFischer, C. S.
dc.creatorPennington, M. R.
dc.date2005-12-19
dc.date2006-03-18
dc.date.accessioned2026-07-07T06:54:17Z
dc.date.available2026-07-07T06:54:17Z
dc.descriptionWe investigate finite volume effects in the pattern of chiral symmetry breaking. To this end we employ a formulation of the Schwinger-Dyson equations on a torus which reproduces results from the corresponding lattice simulations of staggered quarks and from the overlap action. Studying the volume dependence of the quark propagator we find quantitative differences with the infinite volume result at small momenta and small quark masses. We estimate the minimal box length L below which chiral perturbation theory cannot be applied to be L \simeq 1.6 fm. In the infinite volume limit we find a chiral condensate of |<\bar{q}q>|_{\bar{MS}}^{2 GeV} = (253 \pm 5.0 MeV)^3, an up/down quark mass of m_{\bar{MS}}^{2 GeV} = 4.1 \pm 0.3 MeV and a pion decay constant which is only ten percent smaller than the experimental value.
dc.description19 pages, 8 figures. v2: minor clarifications added, version published in PRD
dc.identifierhttps://arxiv.org/abs/hep-ph/0512233
dc.identifierhttp://arxiv.org/abs/hep-ph/0512233
dc.identifierPhys.Rev. D73 (2006) 034029
dc.identifierdoi:10.1103/PhysRevD.73.034029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/105881
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.subjectNuclear Theory
dc.titleFinite volume effects in a quenched lattice-QCD quark propagator
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