English

The epsilon regime with Wilson fermions

High Energy Physics - Lattice 2009-03-27 v1

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.

Keywords

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

R2 v1 2026-06-21T11:51:25.706Z