On the supersymmetric partition function in QCD-inspired random matrix models

TL;DR

This paper demonstrates that the supersymmetric partition function for a chiral Unitary Ensemble, relevant in QCD-inspired models, can be derived from a general expression, confirming previous conjectures.

Contribution

It connects a specific conjectured partition function to a more general derived expression, validating earlier hypotheses.

Findings

Confirmed the supersymmetric partition function expression

Linked conjecture to general derivation

Supported the theoretical framework in random matrix models

Abstract

We show that the expression for the supersymmetric partition function of the chiral Unitary Ensemble conjectured recently by Splittorff and Verbaarschot [Phys. Rev. Lett. v. 90, 041601 (2003)] follows from the general expression derived recently by Fyodorov and Strahov [ J. Phys. A: Math.Gen.} {\bf 36}(2003) 3203] .