Gauge Independent Critical Exponents for QED Coupled to a Four Fermi Interaction with and without a Chern Simons Term

TL;DR

This paper calculates gauge-independent critical exponents for a QED model with four-Fermi interaction, including effects of a Chern-Simons term, using a large N expansion in arbitrary dimensions.

Contribution

It introduces a formalism to compute gauge-independent critical exponents in QED with four-Fermi interactions, incorporating Chern-Simons terms in three dimensions.

Findings

Derived gauge-independent critical exponents in arbitrary dimensions.

Analyzed the impact of Chern-Simons term on critical exponents.

Developed a self-consistency method for large N expansion.

Abstract

We apply the self consistency method for determining critical exponents to a model with a four fermi interaction coupled to QED and compute various gauge independent exponents in arbitrary dimensions in the large $N$ expansion at $O(1/N)$. The formalism is developed to include a Chern Simons term in three dimensions and the effect such a term has on the exponents is deduced.