Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions

Details Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions

1998-01-19

arxiv.org/abs/hep-th/9801133v3

Nucl.Phys. B528 (1998) 411-431

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 18 pages, few more misprints corrected, Version to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(98)00338-1

Exact results from random matrix theory are used to systematically analyse the relationship between microscopic Dirac spectra and finite-volume partition functions. Results are presented for the unitary ensemble, and the chiral analogs of the three classical matrix ensembles: unitary, orthogonal and symplectic, all of which describe universality classes of $SU(N_c)$ gauge theories with $N_f$ fermions in different representations. Random matrix theory universality is reconsidered in this new light.

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