Small eigenvalues of the staggered Dirac operator in the adjoint representation and random matrix theory

Journal Article · Fri Oct 01 00:00:00 EDT 1999 · Physical Review, D

DOI:https://doi.org/10.1103/PhysRevD.60.077502· OSTI ID:686505

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

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

The low-lying spectrum of the Dirac operator is predicted to be universal, within three classes, depending on symmetry properties specified according to random matrix theory. The three universal classes are the orthogonal, unitary and symplectic ensembles. Lattice gauge theory with staggered fermions has verified two of the cases so far, unitary and symplectic, with staggered fermions in the fundamental representation of SU(3) and SU(2). We verify the missing case here, namely orthogonal, with staggered fermions in the adjoint representation of SU(N{sub c}), N{sub c}=2,3. {copyright} {ital 1999} {ital The American Physical Society}

• OSTI ID: 686505
• Journal Information: Physical Review, D, Vol. 60, Issue 7; Other Information: PBD: Oct 1999
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
DIRAC EQUATION
MATHEMATICAL OPERATORS
DIRAC OPERATORS
EIGENVALUES
MATRICES
LATTICE FIELD THEORY
SU-2 GROUPS
SU-3 GROUPS
FERMIONS