The Lorentz-violating real scalar field at thermal equilibrium

TL;DR

This paper investigates how Lorentz-violation affects the thermodynamic properties of a real scalar field, providing exact and approximate results for free and interacting cases, respectively.

Contribution

It offers the first explicit calculations of thermodynamic deviations caused by Lorentz-violation in scalar field theories, including free, massive, and self-interacting models.

Findings

Exact results for massless scalar field thermodynamics.

Approximate deviations for massive scalar field.

Perturbative analysis of self-interacting $^4$ theory.

Abstract

In this paper we study Lorentz-Violation(LV) effects on the thermodynamics properties of a real scalar field theory due to the presence of a constant background tensor field. In particular, we analyse and compute explicitly the deviations of the internal energy, pressure, and entropy of the system at thermal equilibrium due to the LV contributions. For the free massless scalar field we obtain exact results, whereas for the massive case we perform approximated calculations. Finally, we consider the self interacting $\phi^4$ theory, and perform perturbative expansions in the coupling constant for obtaining relevant thermodynamics quantities.