Noncommutative Maxwell-Chern-Simons theory (I): One-loop dispersion relation analysis

TL;DR

This paper investigates the one-loop dispersion relations in three-dimensional noncommutative Maxwell-Chern-Simons theory, focusing on renormalizability, form factors, and potential noncommutative anomalies, especially in the highly noncommutative limit.

Contribution

It provides a detailed one-loop analysis of the gauge field dispersion relation and establishes the renormalizability and physical significance of key quantities in noncommutative Maxwell-Chern-Simons theory.

Findings

Computed form factors of the gauge field self-energy.

Analyzed dispersion relations for noncommutative anomalies.

Examined infrared finiteness in highly noncommutative limit.

Abstract

In this paper, we study the three-dimensional noncommutative Maxwell-Chern-Simons theory. In the present analysis, a complete account for the gauge field two-point function renormalizability is presented and physical significant quantities are carefully established. The respective form factor expressions from the gauge field self-energy are computed at one-loop order. More importantly, an analysis of the gauge field dispersion relation, in search of possible noncommutative anomalies and infrared finiteness, is performed for three special cases, with particular interest in the highly noncommutative limit.