# On Existence of Nontrivial Fixed Points in Large $N$ Gauge Theory in More than Four Dimensions

## TL;DR

This paper investigates the existence of nontrivial fixed points in large N gauge theories beyond four dimensions, using Monte Carlo simulations of the twisted Eguchi-Kawai model in six and four dimensions to explore their phase diagrams.

## Contribution

It provides the first systematic numerical study of fixed points in higher-dimensional large N gauge theories via Monte Carlo methods.

## Key findings

- Identification of phase structures in six-dimensional models.
- Evidence for potential nontrivial fixed points in higher dimensions.
- Insights into the relation between gauge theories and string theory.

## Abstract

Inspired by a possible relation between large $N$ gauge theory and string theory, we search for nontrivial fixed points in large $N$ gauge theory in more than four dimensions. We study large $N$ gauge theory through Monte Carlo simulation of the twisted Eguchi-Kawai model in six dimensions as well as in four dimensions. The phase diagram of the system with the two coupling constants which correspond to the standard plaquette action and the adjoint term has been explored.