Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions

G. Akemann; P. H. Damgaard

doi:10.1016/s0550-3213(98)00338-1

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arXiv · hep-th/9801133

Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions

G. Akemann·P. H. Damgaard

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Abstract

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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G. Akemann, P. H. Damgaard. 1998-04-16. Microscopic Spectra of Dirac Operators and Finite-Volume Partition Functions. https://doi.org/10.1016/s0550-3213(98)00338-1

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