Chiral interpolation in a finite volume
Abstract
A simulation of lattice QCD at (or even below) the physical pion mass is feasible on a small lattice size of \sim 2 fm. The results are, however, subject to large finite volume effects. In order to precisely understand the chiral behavior in a finite volume, we develop a new computational scheme to interpolate the conventional epsilon and p regimes within chiral perturbation theory. In this new scheme, we calculate the two-point function in the pseudoscalar channel, which is described by a set of Bessel functions in an infra-red finite way as in the epsilon regime, while chiral logarithmic effects are kept manifest as in the p regime. The new ChPT formula is compared to our 2+1- flavor lattice QCD data near the physical up and down quark mass, mud \sim 3 MeV on an L \sim 1.8 fm lattice. We extract the pion mass = 99(4) MeV, from which we attempt a chiral "interpolation" of the observables to the physical point.
Cite
@article{arxiv.1111.0417,
title = {Chiral interpolation in a finite volume},
author = {JLQCD Collaboration and H. Fukaya and S. Aoki and S. Hashimoto and T. Kaneko and H. Matsufuru and J. Noaki and T. Onogi and N. Yamada},
journal= {arXiv preprint arXiv:1111.0417},
year = {2011}
}
Comments
7 pages, 2 figures. Talk presented at the XXIX International Symposium on Lattice Field Theory (Lattice 2011), July 10-16, 2011, Squaw Valley, Lake Tahoe, California