Translation-Invariant Renormalizable Noncommutative Chern-Simons Theory

TL;DR

This paper demonstrates the renormalizability and one- and two-loop finiteness of a translation-invariant noncommutative Chern-Simons theory, introducing a new term to the action and analyzing quantum corrections.

Contribution

It introduces a new term to the action of noncommutative Chern-Simons theory and proves its renormalizability and finiteness at one- and two-loop levels.

Findings

The theory is renormalizable after modification.

The theory remains finite at one- and two-loop levels.

One-loop two-point functions of gluon contributions are computed.

Abstract

In this paper we show the renormalizability of the translation invariant noncommutative Chern-Simons theory, motivated by the work done on noncommutative scalar field theory [06]. We add a new term to the bilinear part of the action. In addition, we prove, the finiteness of the theory at one- and two-loop level despite this modification. Finally we perform the one-loop two point functions of the gluon contribution.