Finite-Size Scaling of Vector and Axial Current Correlators

Details Finite-Size Scaling of Vector and Axial Current Correlators Finite-Size Scaling of Vector and Axial Current Correlators

2002-11-11

arxiv.org/abs/hep-lat/0211020v2

Nucl.Phys. B656 (2003) 226-238

Physics

High Energy Physics

High Energy Physics - Lattice

version to appear in NPB

Scientific paper

10.1016/S0550-3213(03)00117-2

Using quenched chiral perturbation theory, we compute the long-distance behaviour of two-point functions of flavour non-singlet axial and vector currents in a finite volume, for small quark masses, and at a fixed gauge-field topology. We also present the corresponding predictions for the unquenched theory at fixed topology. These results can in principle be used to measure the low-energy constants of the chiral Lagrangian, from lattice simulations in volumes much smaller than one pion Compton wavelength. We show that quenching has a dramatic effect on the vector correlator, which is argued to vanish to all orders, while the axial correlator appears to be a robust observable only moderately sensitive to quenching.

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