Iterative Solution of the Supereigenvalue Model
Jan C. Plefka
TL;DR
This paper presents an integral formulation and an iterative method for solving the supereigenvalue model, providing explicit genus-one results and a framework for higher-genus calculations.
Contribution
It introduces a new integral form and an iterative scheme for computing higher-genus contributions in the supereigenvalue model, with explicit genus-one results.
Findings
Explicit genus-one free energy results
A compact planar solution for general potentials
An iterative scheme for higher-genus calculations
Abstract
An integral form of the discrete superloop equations for the supereigenvalue model of Alvarez-Gaume, Itoyama, Manes and Zadra is given. By a change of variables from coupling constants to moments we find a compact form of the planar solution for general potentials. In this framework an iterative scheme for the calculation of higher genera contributions to the free energy and the multi-loop correlators is developed. We present explicit results for genus one.
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