The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory

Abstract

In this work, we obtain the Casimir energy for the real scalar field and the Elko (a mass dimension one spinor fields) in an Hoȓava-Lifshitz (HL) spacetime. We analyze both the massless case as the massive case for both fields using dimensional regularization. We obtain a result of Casimir energy in terms of dimensional parameter and of the HL parameter. Particularizing our result, we can recover the usual results without HL parameter and in (3+1)dimensions present in the literature.Moreover, we compute the effects of the HL parameter in the thermal corrections for the massless scalar field.

Electromagnetic Casimir effect in a Lorentz symmetry violation model

“…As to massive scalar field, the Casimir energy was investigated in [17]. The analysis of Casimir energy associated to massless fermionic field in HL context was developed in [18].…”