1208.5358 (V. K. Oikonomou)

Singularities of the Casimir Energy for Quantum Field Theories with
Lifshitz Dimensions    [PDF]

V. K. Oikonomou

We study the singularities that the Casimir energy of a scalar field in spacetimes with Lifshitz dimensions exhibits, and provide expressions of the energy in terms of multidimensional zeta functions for the massive and massless case. We found that when extra dimensions are considered, the critical exponents of the Lifshitz dimensions affect drastically the Casimir energy, introducing singularities that are absent in the non-Lifshitz case. When the four dimensional case is considered, the Casimir energy has less singularities compared to the non-Lifshitz case. In addition for specific values of the critical exponents, the Casimir energy is finite.

View original: http://arxiv.org/abs/1208.5358