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 and 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 and 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