Scalar sector of the Myers and Pospelov model: thermal and size effects

TL;DR

This paper explores how Lorentz-violating modifications in the Myers and Pospelov scalar model affect thermal and size-dependent phenomena like the Casimir effect and Stefan-Boltzmann law using the TFD formalism.

Contribution

It introduces a novel application of the TFD formalism to analyze Lorentz-violating effects on thermal and size phenomena in the scalar sector of the Myers and Pospelov model.

Findings

Lorentz-violating corrections to the Casimir effect were calculated.

Stefan-Boltzmann law was modified by Lorentz-violating terms.

Thermal and size effects can be simultaneously studied using TFD.

Abstract

The scalar sector of the Myers and Pospelov model is considered. This theory introduces a dimension 5 operator with a preferred four-vector which breaks Lorentz symmetry. We investigate various applications using the TFD formalism, a topological field theory that allows the study of thermal and size effects on an equal footing. In this context, Lorentz-violating corrections to the Casimir effect and Stefan-Boltzmann law have been calculated.