Determination of the chiral condensate from QCD Dirac spectrum on the lattice

Journal Article · Fri Apr 01 04:00:00 EDT 2011 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.83.074501· OSTI ID:21537727

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

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1. Department of Physics, Osaka University, Toyonaka 560-0043 (Japan)
2. Graduate School of Pure and Applied Sciences, University of Tsukuba, Tsukuba, Ibaraki 305-8571 (Japan)
3. Physics Department and Center for Quantum Science and Engineering, National Taiwan University, Taipei 10617, Taiwan (China)
4. KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801 (Japan)

We calculate the chiral condensate of QCD with 2, 2+1, and 3 flavors of sea quarks. Lattice QCD simulations are performed employing dynamical overlap fermions with up- and down-quark masses covering a range between 3 and 100 MeV. On L{approx}1.8-1.9 fm lattices at a lattice spacing {approx}0.11 fm, we calculate the eigenvalue spectrum of the overlap-Dirac operator. By matching the lattice data with the analytical prediction from chiral perturbation theory at the next-to-leading order, the chiral condensate in the massless limit of up and down quarks is determined.

• OSTI ID: 21537727
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 7 Vol. 83; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHIRALITY
COMPOSITE MODELS
COMPUTERIZED SIMULATION
CONDENSATES
CONSTRUCTIVE FIELD THEORY
D QUARKS
DIRAC OPERATORS
EIGENVALUES
ENERGY RANGE
FERMIONS
FIELD THEORIES
FLAVOR MODEL
FORECASTING
LATTICE FIELD THEORY
MASS
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
MATTER
MEV RANGE
PARTICLE MODELS
PARTICLE PROPERTIES
PERTURBATION THEORY
QUANTUM CHROMODYNAMICS
QUANTUM FIELD THEORY
QUANTUM OPERATORS
QUARK MATTER
QUARK MODEL
QUARKS
SIMULATION
SPECTRA