Thermal and Casimir effects in a Lorentz-violating massive scalar field

TL;DR

This paper investigates how Lorentz violation affects thermal and Casimir phenomena in a massive scalar field, revealing modifications to fundamental quantum effects due to symmetry breaking and finite-size conditions.

Contribution

It introduces a Lorentz-violating scalar field model and analyzes thermal and Casimir effects within Thermo Field Dynamics, highlighting new corrections from symmetry breaking.

Findings

Lorentz-violating corrections to the Stefan-Boltzmann law

Modified Casimir force due to Lorentz violation

Interplay between temperature, size, and Lorentz-violating backgrounds

Abstract

In this work, a massive scalar field theory incorporating Lorentz violation is investigated. The symmetry breaking is introduced via a background traceless antisymmetric tensor. Within the framework of Thermo Field Dynamics (TFD), the effects of space-time compactification are explored, allowing the simultaneous treatment of thermal and finite-size phenomena. The resulting modifications to the energy-momentum tensor and Feynman propagator are analyzed, leading to Lorentz-violating corrections to the Stefan-Boltzmann law and the Casimir effect. This unified approach highlights the interplay between temperature, spatial constraints, and Lorentz-violating backgrounds in shaping the behavior of quantum fields.