The epsilon regime with Wilson fermions
Abstract
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.
Cite
@article{arxiv.0812.2403,
title = {The epsilon regime with Wilson fermions},
author = {Oliver Bar and Silvia Necco and Stefan Schaefer},
journal= {arXiv preprint arXiv:0812.2403},
year = {2009}
}
Comments
29 pages, 2 figures