Radiative corrections to the Chern-Simons term at finite temperature in the noncommutative Chern-Simons-Higgs model

TL;DR

This paper calculates how the Chern-Simons term is affected by quantum corrections at finite temperature in a noncommutative Chern-Simons-Higgs model, revealing temperature-dependent behaviors and noncommutative effects.

Contribution

It provides the first detailed analysis of radiative corrections to the Chern-Simons coefficient at finite temperature in a noncommutative setting.

Findings

The correction is proportional to temperature T at high temperature.

Noncommutative corrections grow as T log T.

Results are expressed as analytic functions of the noncommutative parameter.

Abstract

By analyzing the odd parity part of the gauge field two and three point vertex functions, the one-loop radiative correction to the Chern-Simons coefficient is computed in noncommutative Chern-Simons-Higgs model at zero and at high temperature. At high temperature, we show that the static limit of this correction is proportional to $T$ but the first noncommutative correction increases as $T\log T$. Our results are analytic functions of the noncommutative parameter.