10.1016/S0370-2693(98)00665-0
Akemann, Gernot
Gernot
Akemann
Damgaard, P. H.
P. H.
Damgaard
Consistency Conditions for Finite-Volume Partition Functions
1998
2011-01-27T13:28:56Z
2018-07-24T12:57:57Z
journal_article
https://pub.uni-bielefeld.de/record/1978419
https://pub.uni-bielefeld.de/record/1978419.json
Using relations from random matrix theory, we derive exact expressions forall $n$-point spectral correlation functions of Dirac operator eigenvalues interms of finite-volume partition functions. This is done for both chiralsymplectic and chiral unitary random matrix ensembles, which correspond to$SU(N_c \geq 3)$ gauge theories with $N_f$ fermions in the adjoint andfundamental representations, respectively. In the latter case we infer fromthis an infinite sequence of consistency conditions that must be satisfied bythe corresponding finite-volume partition functions.