The Master Field for the Half-Planar Approximation for Large $N$ Matrix Models and Boltzmann Field Theory

TL;DR

This paper explores the Boltzmann master field for half-planar diagrams in large N matrix models across various dimensions, building on recent work by Accardi, Volovich, and I.A.

Contribution

It introduces a detailed analysis of the half-planar master field in large N matrix models, extending understanding of planar diagram structures.

Findings

Characterization of the Boltzmann master field in multiple dimensions

Extension of half-planar diagram analysis to new matrix model classes

Insights into the structure of planar diagram contributions

Abstract

In this talk results of study in various dimensions of the Boltzmann master field for a subclass of planar diagrams, so called half-planar diagrams, found in the recent work by Accardi, Volovich and one of us (I.A.) are presented.