Wilson fermions in the epsilon regime - High Energy Physics - LatticeReport as inadecuate

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Abstract: We extend the epsilon-expansion of continuum chiral perturbation theory tononzero lattice spacing in the framework of Wilson Chiral Perturbation Theory.We distinguish various regimes by defining the relative power counting of thequark mass m and the lattice spacing a. We observe that for m ~ a Lambda^2 QCD,the explicit breaking of chiral symmetry in Wilson fermions is still driven bythe quark mass and lattice corrections are highly suppressed. The latticespacing effects become more pronounced for smaller quark masses and may lead tonon-trivial corrections of the continuum results at next-to-leading order. Wecompute these corrections for standard current and density correlationfunctions. A fit to lattice data shows that these corrections are small, asexpected.

Author: Oliver Bar, Silvia Necco, Stefan Schaefer

Source: https://arxiv.org/

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