Diagrammatic Method for Wide Correlators in Gaussian Orthogonal and Symplectic Random Matrix Ensembles

Abstract

We calculate connected correlators in time dependent Gaussian orthogonal and symplectic random matrix ensembles by a diagrammatic method. We obtain averaged one-point Green's functions in the leading order O(1) and wide two-level and three-level correlators in the first nontrivial order by summing over twisted and untwisted planer diagrams.

15 pages LaTex including 7 figures

References in corpus (2)

• Higher genus correlators for the hermitian matrix model with multiple cuts
• Spectral form factor in a random matrix theory

Cited by in corpus (2)

• Universal Wide Correlators in Non-Gaussian Orthogonal, Unitary and Symplectic Random Matrix Ensembles
• Replica Method for Wide Correlators in Gaussian Orthogonal, Unitary And Symplectic Random Matrix Ensembles