Nonanalyticity of the nonabelian five-dimensional Chern-Simons term

Abstract

In this work, we study the behavior of the nonabelian five-dimensional Chern-Simons term at finite temperature regime in order to verify the possible nonanalyticity. We employ two methods, a perturbative and a non-perturbative one. No scheme of regularization is needed, and we verify the nonanalyticity of the self-energy of the photon in the origin of momentum space by two conditions that do not commute, namely, the static limit $(k_0=0,\vec{k}\to 0)$ and the long wavelength limit $(k_0\to 0,\vec{k}=0)$, while its tensorial structure holds in both limits.

12 pages, 2 figures, version to appear in EPL