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Low-energy coupling of QCD from current correlators near the chiral limit

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Low-energy coupling of QCD from current correlators near the chiral limit

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Giusti, L.; Hernández Gamazo, Pilar; Laine, Mikko; Weisz, P.; Wittig, Hartmut

This document is a artículoDate2004

Este documento está disponible también en : http://hdl.handle.net/10550/43321

We investigate a new numerical procedure to compute fermionic correlation functions at very small quark masses. Large statistical fluctuations, due to the presence of local ``bumps'' in the wave functions associated with the low-lying eigenmodes of the Dirac operator, are reduced by an exact low-mode averaging. To demonstrate the feasibility of the technique, we compute the two-point correlator of the left-handed vector current with Neuberger fermions in the quenched approximation, for lattices with a linear extent of L~1.5 fm, a lattice spacing a~0.09 fm, and quark masses down to the epsilon-regime. By matching the results with the corresponding (quenched) chiral perturbation theory expressions, an estimate of (quenched) low-energy constants can be obtained. We find agreement between the quenched values of F extrapolated from the p-regime and extracted in the epsilon-regime.

Giusti, L. Hernández Gamazo, Pilar Laine, Mikko Weisz, P. Wittig, Hartmut 2004 Low-energy coupling of QCD from current correlators near the chiral limit Journal of High Energy Physics 2004 04 13-1 13-22

http://dx.doi.org/10.1088/1126-6708/2004/04/013