Regular Article - Theoretical Physics
The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory
Departamento de Física, Universidade Federal do Ceará (UFC), Campus do Pici, Fortaleza, CE, Brazil
* e-mail: firstname.lastname@example.org
Accepted: 6 May 2020
Published online: 19 May 2020
In this work, we obtain the Casimir energy for the real scalar field and the Elko neutral spinor field in a field theory at a Lifshitz fixed point (LP). We analyze the massless and the massive case for both fields using dimensional regularization. We obtain the Casimir energy in terms of the dimensional parameter and the LP parameter. Particularizing our result, we can recover the usual results without LP parameter in (3 + 1) dimensions presented in the literature. Moreover, we compute the effects of the LP parameter in the thermal corrections for the massless scalar field.
© The Author(s), 2020