Non Relativistic Limit of a Model of Fermions interacting through a Chern-Simons Field

TL;DR

This paper investigates the non-relativistic limit of a fermionic model coupled with a Chern-Simons field using a Wilsonian renormalization approach, offering new insights into non-relativistic field theories.

Contribution

It introduces a novel perspective on non-relativistic limits of fermionic Chern-Simons models using Wilsonian renormalization, addressing previous difficulties and enhancing understanding.

Findings

Provided a new method for analyzing non-relativistic limits

Resolved key difficulties in the non-relativistic analysis

Gained deeper understanding of non-relativistic fermion-Chern-Simons models

Abstract

We study the non relativistic limit of a Model of Fermions interacting through a Chern-Simons Field, from a perspective that resembles the Wilson's Renormalization Group approach, instead of the more usual approach found in most texts of Field Theory. The solution of some difficulties, and a new understanding of non relativistic models is given.