Stochastic Master Fields

TL;DR

This paper explores stochastic equations for large N master fields, demonstrating they encode the same information as traditional Schwinger-Dyson equations, using a Voiculescu-inspired construction.

Contribution

It introduces a novel approach to modeling large N master fields through stochastic equations aligned with Voiculescu's work, linking them to Schwinger-Dyson equations.

Findings

Stochastic master fields contain equivalent information to Schwinger-Dyson equations.

A Voiculescu-inspired construction effectively models large N master fields.

The approach bridges stochastic equations with traditional quantum field theory methods.

Abstract

We treat the stochastic equation for large N master fields proposed by Greensite and Halpern using a construction of master fields modelled after work of Voiculescu, and show that it contains the same information as the usual factorized Schwinger-Dyson equations.