Chern-Simons Splitting of 2+1D Gauge Theories

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.

11 pages, contribution to String-Math 2014 conference proceedings, to appear in Proceedings of Symposia in Pure Mathematics (PSPUM) book series

References in corpus (2)

• Chern-Simons Splitting of 2+1D Pure Yang-Mills Theory at Large Distances
• Topologically Massive Yang-Mills Theory and Link Invariants (Thesis)