paper

Casimir effect within D=3+1 Maxwell-Chern-Simons electrodynamics

arXiv:0905.3680 · doi:10.1103/PhysRevD.81.025015

Abstract

Within the framework of the (3+1)-dimensional Lorentz-violating extended electrodynamics including the CPT-odd Chern-Simons term, we consider the electromagnetic field between the two parallel perfectly conducting plates. We find the one-particle eigenstates of such a field, as well as the implicit expression for the photon energy spectrum. We also show that the tachyon-induced vacuum instability vanishes when the separation between the plates is sufficiently small though finite. In order to find the leading Chern-Simons correction to the vacuum energy, we renormalize and evaluate the sum over all one-particle eigenstate energies using the two different methods, the zeta function technique and the transformation of the discrete sum into a complex plane integral via the residue theorem. The resulting correction to the Casimir force, which is attractive and quadratic in the Chern-Simons term, disagrees with the one calculated in [M.Frank and I.Turan, Phys.Rev.D 74, 033016(2006)], using the misinterpreted equations of motion. Compared to the experimental data, our result places a constraint on the absolute value of the Chern-Simons term.

22 pages, 1 figure ver2: some misprints are eliminated, which do not touch the main thread of the paper

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