Consistency Conditions for Finite-Volume Partition Functions

Details Consistency Conditions for Finite-Volume Partition Functions Consistency Conditions for Finite-Volume Partition Functions

1998-02-24

arxiv.org/abs/hep-th/9802174v2

Phys.Lett. B432 (1998) 390-396

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 8 pages, minor misprint in eq.(20) corrected

Scientific paper

10.1016/S0370-2693(98)00665-0

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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