One-loop Energy Corrections in the Nonabelian Gauge Field Theory in 2+1 Dimensions

TL;DR

This paper calculates one-loop quantum corrections to the energy of classical solutions in a 2+1 dimensional nonabelian SU(2) gauge theory with Chern-Simons mass, providing insights into quantum effects in topologically massive gauge fields.

Contribution

It presents the first explicit calculation of one-loop energy corrections for classical solutions in nonabelian gauge theory with Chern-Simons term in 2+1 dimensions.

Findings

Exact classical solutions of the field equations were obtained.

One-loop boson and fermion fluctuation contributions to energy were computed.

Results shed light on quantum effects in topologically massive gauge theories.

Abstract

Exact constant solutions of field equations in the classical nonabelian SU(2) field theory with the Chern-Simons topological mass in 2+1-dimensional space-time have been obtained. One-loop contributions of boson and fermion fluctuations to the gauge field energy have been calculated.