Two-Flavor Lattice-QCD Simulation in the γ Regime with Exact Chiral Symmetry
Abstract
We perform lattice simulations of two-flavor QCD using Neuberger’s overlap fermion, with which the exact chiral symmetry is realized at finite lattice spacings. The γ regime is reached by decreasing the light quark mass down to 3 MeV on a 163×32 lattice with a lattice spacing ∼0.11fm. We find a good agreement of the low-lying Dirac eigenvalue spectrum with the analytical predictions of the chiral random matrix theory, which reduces to the chiral perturbation theory in the γ regime. The chiral condensate is extracted as ΣMS¯(2GeV)=(251±7±11MeV)3, where the errors are statistical and an estimate of the higher order effects in the γ expansion.
- Publication:
-
Physical Review Letters
- Pub Date:
- April 2007
- DOI:
- 10.1103/PhysRevLett.98.172001
- arXiv:
- arXiv:hep-lat/0702003
- Bibcode:
- 2007PhRvL..98q2001F
- Keywords:
-
- 12.38.Gc;
- 11.15.Ha;
- 11.30.Rd;
- Lattice QCD calculations;
- Lattice gauge theory;
- Chiral symmetries;
- High Energy Physics - Lattice
- E-Print:
- 10pages, 4figures