Renormalization Group Flow of Four-fermi with Chern-Simons Interaction

TL;DR

This paper explores how adding Chern-Simons interactions to a three-dimensional four-fermi theory reveals a line of stable infrared fixed points characterized by the Chern-Simons coupling, advancing understanding of non-Gaussian fixed points.

Contribution

It introduces Chern-Simons interactions into the four-fermi theory and identifies a line of non-Gaussian infrared stable fixed points associated with the coupling.

Findings

Identification of a line of non-Gaussian IR fixed points

Characterization of fixed points by Chern-Simons coupling

Potential implications for three-dimensional quantum field theories

Abstract

We introduce Chern-Simons interaction into the three dimensional four-fermi theory, ad suggest a possible line of non-Gaussian infrared stable fixed points of the four-fermi operator, this line is characterized by the Chern-Simons coupling.