Determination of the Chiral Condensate from (2+1)-Flavor Lattice QCD

Journal Article · Fri Mar 26 04:00:00 EDT 2010 · Physical Review Letters

DOI:https://doi.org/10.1103/PHYSREVLETT.104.122002· OSTI ID:21386867

Fukaya, H ^[1]; Aoki, S ^[2]; Hashimoto, S; Kaneko, T; Yamada, N ^[3]; Noaki, J ^[3]; Onogi, T ^[4]

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1. Department of Physics, Nagoya University, Nagoya 464-8602 (Japan)
2. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba 305-8571 (Japan)
3. KEK Theory Center, High Energy Accelerator Research Organization (KEK), Ibaraki 305-0801 (Japan)
4. Department of Physics, Osaka University, Toyonaka 560-0043 (Japan)

We perform a precise calculation of the chiral condensate in QCD using lattice QCD with 2+1 flavors of dynamical overlap quarks. Up and down quark masses cover a range between 3 and 100 MeV on a 16{sup 3}x48 lattice at a lattice spacing {approx}0.11 fm. At the lightest sea quark mass, the finite volume system on the lattice is in the {epsilon} regime. By matching the low-lying eigenvalue spectrum of the Dirac operator with the prediction of chiral perturbation theory at the next-to-leading order, we determine the chiral condensate in (2+1)-flavor QCD with strange quark mass fixed at its physical value as {Sigma}{sup MS}(2 GeV)=[242(04)((+19/-18)) MeV]{sup 3} where the errors are statistical and systematic, respectively.

• OSTI ID: 21386867
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 12 Vol. 104; ISSN 0031-9007; ISSN PRLTAO
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPOSITE MODELS
CONSTRUCTIVE FIELD THEORY
D QUARKS
DIRAC OPERATORS
EIGENVALUES
ELEMENTARY PARTICLES
ENERGY RANGE
ERRORS
FERMIONS
FIELD THEORIES
FLAVOR MODEL
GEV RANGE
LATTICE FIELD THEORY
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MEV RANGE
PARTICLE MODELS
PARTICLE PROPERTIES
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MODEL
QUARKS
S QUARKS
STRANGE PARTICLES