Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2005-04-22
Prog.Theor.Phys. 114 (2005) 451-476
Physics
High Energy Physics
High Energy Physics - Lattice
28pages,31figures,v2: references added, typos fixed
Scientific paper
10.1143/PTP.114.451
We present a quenched calculation of meson correlators with the overlap fermion at very small masses 2.6--13 MeV. In this region the pion Compton wavelength is larger than our lattice size L\simeq 1.23fm and the system is in the so-called epsilon-regime of chiral perturbation theory. We found that the scalar and pseudo-scalar correlators are precisely approximated by a few hundred low-lying fermion eigenmodes in this regime, whereas axial-vector correlator receives significant contributions from higher eigenmodes. We also measure the disconnected pseudo-scalar correlator, which is well saturated with the low-lying modes. Matching these lattice data with the one-loop expressions for the correlators in quenched chiral perturbation theory, we evaluate the decay constant F_pi and the chiral condensate Sigma as well as the parameters m_0 and alpha, which describe the artifacts of the quenched approximation.
Fukaya Hidenori
Hashimoto Shoji
Ogawa Kenji
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