
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.
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