Matrix Model Fixed Point of Noncommutative Phi-Four

TL;DR

This paper identifies a fixed point in a matrix model for noncommutative phi-four theory with two noncommuting directions, using renormalization group techniques and large N expansion, and computes critical exponents.

Contribution

It explicitly exhibits the matrix model fixed point of noncommutative phi-four theory and calculates critical exponents in various dimensions.

Findings

Fixed point identified in matrix model at  limit

Mass critical exponent  and anomalous dimension  computed

Applicable to theories with two noncommuting directions

Abstract

In this article we exhibit explicitly the matrix model ($\theta=\infty$) fixed point of phi-four theory on noncommutative spacetime with only two noncommuting directions using the Wilson renormalization group recursion formula and the 1/N expansion of the zero dimensional reduction and then calculate the mass critical exponent $\nu$ and the anomalous dimension $\eta$ in various dimensions .