Quark Spectra, Topology, and Random Matrix Theory

Journal Article · Sat May 01 00:00:00 EDT 1999 · Physical Review Letters

DOI:https://doi.org/10.1103/PhysRevLett.82.4188· OSTI ID:700972

Edwards, R G; Heller, U M ^[1]; Kiskis, J ^[2]; Narayanan, R ^[3]

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1. SCRI, Florida State University, Tallahassee, Florida 32306-4130 (United States)
2. Department of Physics, University of California, Davis, California 95616 (United States)
3. Department of Physics, Building 510A, Brookhaven National Laboratory, P.O. Box 5000, Upton, New York 11973 (United States)

Quark spectra in QCD are linked to fundamental properties of the theory including the identification of pions as the Goldstone bosons of spontaneously broken chiral symmetry. The lattice overlap Dirac operator provides a nonperturbative, ultraviolet-regularized description of quarks with the correct chiral symmetry. Properties of the spectrum of this operator and their relation to random matrix theory are studied here. In particular, the predictions from chiral random matrix theory in topologically nontrivial gauge field sectors are tested for the first time. {copyright} {ital 1999} {ital The American Physical Society}

• Research Organization: Florida State Univ., Tallahassee, FL (United States)
• DOE Contract Number: FG02-85ER25000
• OSTI ID: 700972
• Journal Information: Physical Review Letters, Vol. 82, Issue 21; Other Information: PBD: May 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
QUARKS
DIRAC OPERATORS
GOLDSTONE BOSONS
CHIRAL SYMMETRY
MATRICES
STOCHASTIC PROCESSES
QUANTUM CHROMODYNAMICS
TOPOLOGY