The epsilon regime with Wilson fermions

Details The epsilon regime with Wilson fermions The epsilon regime with Wilson fermions

2008-12-12

arxiv.org/abs/0812.2403v1

JHEP 0903:006,2009

Physics

High Energy Physics

High Energy Physics - Lattice

29 pages, 2 figures

Scientific paper

10.1088/1126-6708/2009/03/006

We study the impact of explicit chiral symmetry breaking of Wilson fermions on mesonic correlators in the epsilon-regime using Wilson chiral perturbation theory (WChPT). We generalize the epsilon-expansion of continuum ChPT to nonzero lattice spacings for various quark mass regimes. It turns out that the corrections due to a nonzero lattice spacing are highly suppressed for typical quark masses of the order aLambda_QCD^2. The lattice spacing effects become more pronounced for smaller quark masses and lead to non-trivial corrections of the continuum ChPT results at next-to-leading order. We compute these corrections for the standard current and density correlation functions. A fit to lattice data shows that these corrections are small, as expected.

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