Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2011-11-02
Physics
High Energy Physics
High Energy Physics - Lattice
7 pages, 2 figures. Talk presented at the XXIX International Symposium on Lattice Field Theory (Lattice 2011), July 10-16, 201
Scientific paper
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.
Aoki Sadao
Fukaya Hidenori
Hashimoto Shigehira
JLQCD Collaboration
Kaneko Tak
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