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

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 $\epsilon$-regime, all are in the $p$-regime and a mixed-regime where the lighest quark masses satisfy $m_v\Sigma V\le 1$ 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.

27 pages, 4 figures

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• Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
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Cited by in corpus (12)

• The Chiral Condensate in a Finite Volume
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
• Probing the chiral regime of Nf=2 QCD with mixed actions
• Finite size scaling of meson propagators with isospin chemical potential
• Heavy-light mesons in the epsilon-regime
• Finite-volume Correction to the Pion Decay Constant in the Epsilon-Regime
• Interpolation between the epsilon and p regimes
• Chiral Random Matrix Theory and Chiral Perturbation Theory
• Testing chiral effective theory with quenched lattice QCD
• Partially quenched chiral perturbation theory in the epsilon regime at next-to-leading order
• Heavy Meson Masses in the ε-Regime of HMχPT
• Extracting the electro-magnetic pion form factor from QCD in a finite volume