Meson correlators in the epsilon-regime of two-flavor lattice QCD

Details Meson correlators in the epsilon-regime of two-flavor lattice QCD Meson correlators in the epsilon-regime of two-flavor lattice QCD

2007-10-18

arxiv.org/abs/0710.3468v2

PoSLAT2007:073,2007

Physics

High Energy Physics

High Energy Physics - Lattice

7pages, 4figures. Presented at Lattice 2007, Regensburg, Germany, 30 Jul - 4 Aug 2007, minor corrections in figures

Scientific paper

We calculate the meson correlators in the $\epsilon$-regime of two-flavor QCD. On a $16^3\times 32$ lattice with $a\sim 0.11$ fm, the lattice simulations are performed with the dynamical overlap fermions. We reduce the sea quark mass down to $\sim$ 3 MeV and the valence quark masses are taken in the range 1-4 MeV. The meson correlators in various channels are compared with the predictions of (partially quenched) chiral perturbation theory (ChPT). Including the NLO order of the $\epsilon$-expansion, we extract the leading-order low energy constants of ChPT, the pion decay constant $F$ and the chiral condensate $\Sigma$, as $F=87.3(5.5)$ MeV and $\Sigma^{\bar{\mathrm{MS}}}=[237.8(4.0){MeV}]^3$.

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