Thermofield Theory of Large $N$ Matrix Models

TL;DR

This paper introduces analytical and numerical techniques for studying large $N$ matrix models at finite temperature using thermofield theory, enabling calculation of thermodynamical properties and correlation functions.

Contribution

It develops a double collective representation on the Schwinger-Keldysh contour for large $N$ matrix quantum systems, advancing the analytical and numerical analysis of their thermal behavior.

Findings

Provides a new framework for finite temperature analysis of large $N$ matrix models.

Enables calculation of thermodynamical properties and correlation functions.

Bridges thermofield theory with large $N$ matrix quantum systems.

Abstract

We develop analytical and numerical methods for the matrix thermofield in the large $N$ limit. Through the double collective representation on the Schwinger-Keldysh contour, it provides thermodynamical properties and finite temperature correlation functions, for large $N$ matrix quantum systems.