Maxwell-Chern-Simons Casimir Effect

TL;DR

This paper investigates the Casimir effect in a (2+1)-dimensional Abelian gauge theory with a Chern-Simons mass term, revealing unique boundary condition effects and temperature dependence.

Contribution

It provides the first analysis of the Casimir effect in Maxwell-Chern-Simons theory, highlighting differences from scalar fields and exploring finite temperature impacts.

Findings

Casimir effect matches scalar field results for parallel lines

Opposite sign of Casimir force for circular boundaries compared to scalar fields

Attractive Casimir stress at both low and high temperatures

Abstract

In odd-dimensional spaces, gauge invariance permits a Chern-Simons mass term for the gauge fields in addition to the usual Maxwell-Yang-Mills kinetic energy term. We study the Casimir effect in such a (2+1)-dimensional Abelian theory. For the case of parallel conducting lines the result is the same as for a scalar field. For the case of circular boundary conditions the results are completely different, with even the sign of the effect being opposite for Maxwell-Chern-Simons fields and scalar fields. We further examine the effect of finite temperature. The Casimir stress is found to be attractive at both low and high temperature. Possibilities of observing this effect in the laboratory are discussed.