$\beta$-function for topologically massive gluons

TL;DR

This paper computes the one-loop quantum corrections to topologically massive non-Abelian gluons, revealing that the theory exhibits faster asymptotic freedom compared to standard $SU(N)$ gauge theory.

Contribution

It introduces the calculation of the beta function for topologically massive gluons, showing an accelerated asymptotic freedom in this modified gauge theory.

Findings

Beta function computed at one loop order.

Theory becomes asymptotically free faster than pure $SU(N)$ gauge theory.

Provides insights into quantum corrections of topologically massive gauge fields.

Abstract

We calculate the quantum corrections to the two-point function of four dimensional topologically massive non-Abelian vector fields at one loop order for $SU(N)$ gauge theory in Feynman-'t Hooft gauge. We calculate the beta function of the gauge coupling constant and find that the theory becomes asymptotically free faster than pure $SU(N)$ gauge theory.