Small eigenvalues of the staggered Dirac operator in the adjoint representation and random matrix theory
- 7 September 1999
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 60 (7) , 077502
- https://doi.org/10.1103/physrevd.60.077502
Abstract
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 .
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