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

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

2007-07-26

arxiv.org/abs/0707.3887v1

JHEP 0710:033,2007

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages, 4 figures

Scientific paper

10.1088/1126-6708/2007/10/033

We 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 $\epsilon$-regime, all are in the $p$-regime and a mixed-regime where the lighest quark masses satisfy $m_v \Sigma V \leq 1$ while the heavier $m_s \Sigma V \gg 1$. 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.

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