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arXiv · 0707.3887

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

F. Bernardoni·P. Hernández
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Abstract

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 $ε$-regime, all are in the $p$-regime and a mixed-regime where the lighest quark masses satisfy $m_v ΣV \leq 1$ while the heavier $m_s ΣV \gg 1$. 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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F. Bernardoni, P. Hernández. 2007-07-26. Finite-size scaling for the left-current correlator with non-degenerate quark masses. https://doi.org/10.1088/1126-6708%2F2007%2F10%2F033

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