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arXiv · hep-th/9802174

Consistency Conditions for Finite-Volume Partition Functions

G. Akemann·P. H. Damgaard
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Abstract

Using relations from random matrix theory, we derive exact expressions for all $n$-point spectral correlation functions of Dirac operator eigenvalues in terms of finite-volume partition functions. This is done for both chiral symplectic and chiral unitary random matrix ensembles, which correspond to $SU(N_c \geq 3)$ gauge theories with $N_f$ fermions in the adjoint and fundamental representations, respectively. In the latter case we infer from this an infinite sequence of consistency conditions that must be satisfied by the corresponding finite-volume partition functions.

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G. Akemann, P. H. Damgaard. 1998-09-03. Consistency Conditions for Finite-Volume Partition Functions. https://doi.org/10.1016/s0370-2693(98)00665-0

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