Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory

Details Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory Small eigenvalues of the staggered Dirac operator in the adjoint representation and Random Matrix Theory

1999-02-16

arxiv.org/abs/hep-lat/9902021v1

Phys.Rev. D60 (1999) 077502

Physics

High Energy Physics

High Energy Physics - Lattice

3 pages, revtex, 2 postscript figures

Scientific paper

10.1103/PhysRevD.60.077502

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 ensemble. 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_c), N_c=2, 3.

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