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

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

2004-02-03

arxiv.org/abs/hep-lat/0402002v2

JHEP 0404:013,2004

Physics

High Energy Physics

High Energy Physics - Lattice

20 pages, 5 figures

Scientific paper

10.1088/1126-6708/2004/04/013

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.

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