Chern-Simons Splitting of 2+1D Gauge Theories

TL;DR

This paper investigates the geometric quantization of 2+1D gauge theories, revealing a Chern-Simons splitting at large distances that enables the incorporation of link invariants, with implications for topological quantum field theories.

Contribution

It demonstrates that topologically massive and pure Yang-Mills theories in 2+1 dimensions exhibit Chern-Simons splitting behavior at large distances, extending understanding of their topological properties.

Findings

Chern-Simons splitting occurs at large distances in these theories

Large distance behavior can incorporate link invariants

Analogous behavior observed in topologically massive AdS gravity

Abstract

Geometric quantization of topologically massive and pure Yang- Mills theories is studied in 2+1 dimensions. Analogous to the topologically massive AdS gravity model, both topologically massive Yang-Mills and pure Yang-Mills theories are shown to exhibit a Chern-Simons splitting behavior at large distances. It is also shown that, this large distance topological behavior can be further used to incorporate link invariants.