Radiative corrections to the Casimir energy in the $\lambda |\varphi {|}^4$ model under quasi-periodic boundary conditions

Abstract

We compute the first radiative correction to the Casimir energy in the $(d+1)$-dimensional $\lambda |\varphi {|}^4$ model submitted to quasi-periodic boundary conditions in one spatial direction. Our results agree with the ones found in the literature for periodic and anti-periodic boundary conditions, special cases of the quasi-periodic boundary conditions.

6 pages, 2 figures. Work presented at the XXIV Brazilian National Meeting on Particles and Fields (Caxambu, Brazil, 30 Sep - 4 Oct 2003)