Lattice study of meson correlators in the $ϵ$-regime of two-flavor QCD

Lattice study of meson correlators in the $ϵ$ -regime of two-flavor QCD

H. Fukaya, S. Aoki, S. Hashimoto, T. Kaneko, H. Matsufuru, J. Noaki, K. Ogawa, T. Onogi, and N. Yamada (JLQCD collaboration)

Phys. Rev. D 77, 074503 – Published 3 April 2008

Abstract

We calculate mesonic two-point functions in the $ϵ$ -regime of two-flavor QCD on the lattice with exact chiral symmetry. We use gauge configurations of size $16^{3} \times 32$ at $a \sim 0.11 fm$ generated with dynamical overlap fermions. The sea quark mass is fixed at around 3 MeV and the valence quark mass is varied in the range 1–4 MeV, both of which are in the $ϵ$ -regime. We find a good consistency with the expectations from the next-to-leading order calculation in the $ϵ$ -expansion of (partially quenched) chiral perturbation theory. From a fit we obtain the pion decay constant $F = 87.3 (5.6) MeV$ and the chiral condensate $Σ^{\bar{MS}} = [239.8 (4.0) MeV]^{3}$ up to next-to-next-to-leading order contributions.

2 More

Received 12 December 2007

DOI:https://doi.org/10.1103/PhysRevD.77.074503

Authors & Affiliations

H. Fukaya¹, S. Aoki^2,3, S. Hashimoto^4,5, T. Kaneko^4,5, H. Matsufuru⁴, J. Noaki⁴, K. Ogawa⁶, T. Onogi⁷, and N. Yamada^4,5 (JLQCD collaboration)

¹The Niels Bohr Institute, The Niels Bohr International Academy, Blegdamsvej 17 DK-2100 Copenhagen Ø Denmark
²Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571, Japan
³Riken BNL Research Center, Brookhaven National Laboratory, Upton, New York 11973, USA
⁴High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan
⁵School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan
⁶Physics Department, Center for Theoretical Sciences, and National Center for Theoretical Sciences, National Taiwan University, Taipei 10617, Taiwan
⁷Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502, Japan

Article Text (Subscription Required)

Click to Expand

References (Subscription Required)

Click to Expand

Issue

Vol. 77, Iss. 7 — 1 April 2008

Reuse & Permissions

Access Options

Author publication services for translation and copyediting assistance advertisement

Physical Review D

covering particles, fields, gravitation, and cosmology