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Finite-size scaling of the left-current correlator with non-degenerate quark masses

AuthorsBernardoni, Fabio; Hernández Gamazo, Pilar
KeywordsChiral perturbation-theory
Exactly massless quarks
Lattice QCD
Dirac operator
Issue Date5-Oct-2007
PublisherInternational School for Advanced Studies
Institute of Physics Publishing
CitationJournal of High Energy Physics 10: 033 (2007)
AbstractWe study the volume dependence of the left-current correlator with non-degenerate quark masses to next-to-leading order in the chiral expansion. We consider three possible regimes: all quark masses are in the ε-regime, all are in the p-regime and a mixed-regime where the lighest quark masses satisfy m(v)ΣV ≤ t while the heavier m(s)ΣV >> 1. These results can be used to match lattice QCD and the Chiral Effective Theory in a large but finite box in which the Compton wavelength of the lightest pions is of the order of the box size. We consider both the full and partially-quenched results.
Description26 pages, 4 figures.-- ISI Article Identifier: 000250759700078.-- ArXiv pre-print available at: http://arxiv.org/abs/0707.3887
Publisher version (URL)http://dx.doi.org/10.1088/1126-6708/2007/10/033
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