Two-Flavor Lattice-QCD Simulation in the {epsilon} Regime with Exact Chiral Symmetry

Journal Article · Fri Apr 27 00:00:00 EDT 2007 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.98.172001· OSTI ID:20951268

Fukaya, H ^[1]; Aoki, S ^[2]; Chiu, T W; Ogawa, K ^[3]; Hashimoto, S; Kaneko, T; Yamada, N ^[4]; Matsufuru, H; Noaki, J; Okamoto, M ^[4]; Onogi, T ^[5]

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1. Theoretical Physics Laboratory, RIKEN, Wako 351-0198 (Japan)
2. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571 (Japan)
3. Physics Department and Center for Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan (China)
4. High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801 (Japan)
5. Yukawa Institute for Theoretical Physics, Kyoto University, Kyoto 606-8502 (Japan)

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 {epsilon} regime is reached by decreasing the light quark mass down to 3 MeV on a 16{sup 3}x32 lattice with a lattice spacing {approx}0.11 fm. 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 {epsilon} regime. The chiral condensate is extracted as {sigma}{sup MS}(2 GeV)=(251{+-}7{+-}11 MeV){sup 3}, where the errors are statistical and an estimate of the higher order effects in the {epsilon} expansion.

• OSTI ID: 20951268
• Journal Information: Physical Review Letters, Vol. 98, Issue 17; Other Information: DOI: 10.1103/PhysRevLett.98.172001; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 0031-9007
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRAL SYMMETRY
CHIRALITY
COMPUTERIZED SIMULATION
D QUARKS
EIGENVALUES
ERRORS
FLAVOR MODEL
GEV RANGE 01-10
LATTICE FIELD THEORY
MATRICES
MEV RANGE 100-1000
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
RANDOMNESS
SPECTRA
U QUARKS