Free Variables and the Two Matrix Model
M. R. Douglas (Rutgers University), M. Li (Brown University)
TL;DR
This paper develops a method to analyze the full set of planar Green's functions in a two-matrix model using non-commuting variables, providing an efficient way to solve Schwinger-Dyson equations and determine the master field.
Contribution
It introduces a novel approach to solving Green's functions in two-matrix models via non-commutative functions, advancing the understanding of master fields in this context.
Findings
Efficient solution of Schwinger-Dyson equations for two-matrix models
Explicit determination of the master field in the C-representation
Framework applicable to analyzing planar Green's functions
Abstract
We study the full set of planar Green's functions for a two-matrix model using the language of functions of non-commuting variables. Both the standard Schwinger-Dyson equations and equations determining connected Green's functions can be efficiently discussed and solved. This solution determines the master field for the model in the `-representation.'
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