English

Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F

High Energy Physics - Lattice 2011-06-22 v2

Abstract

The lowest-order low-energy constants Σ\Sigma and FF of chiral pertubation theory can be extracted from lattice data using methods based on the equivalence of random matrix theory (RMT) and QCD in the epsilon regime. We discuss how the choice of the lattice geometry affects such methods. In particular, we show how to minimize systematic deviations from RMT by an optimal choice of the lattice geometry in the case of two light quark flavors. We illustrate our findings by determining Σ\Sigma and FF from lattice configurations with two dynamical overlap fermions generated by JLQCD, using two different lattice geometries.

Keywords

Cite

@article{arxiv.1101.5576,
  title  = {Geometry dependence of RMT-based methods to extract the low-energy constants Sigma and F},
  author = {Christoph Lehner and Jacques Bloch and Shoji Hashimoto and Tilo Wettig},
  journal= {arXiv preprint arXiv:1101.5576},
  year   = {2011}
}

Comments

14 pages, 6 figures; extended discussion of systematic errors, as published in JHEP