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

Fabio Bernardoni and Pilar Hernández

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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 mvΣV ≤ 1 while the heavier msΣV >> 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.

Keywords

Chiral Lagrangians

Lattice QCD

 

E-print Number: 0707.3887

Cited: by |

Refers: to

PACS

11.30.Rd Chiral symmetries

12.39.Fe Chiral Lagrangians

11.10.Cd Axiomatic approach

14.65.-q Quarks

12.38.Bx Perturbative calculations

12.38.Gc Lattice QCD calculations

Subjects

Particle physics and field theory

Dates

Issue 10 (October 2007)

Received 7 August 2007, accepted for publication 25 September 2007

Published 5 October 2007



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