https://doi.org/10.1140/epjc/s10052-021-09250-1
Regular Article - Theoretical Physics
The Lorentz-violating real scalar field at thermal equilibrium
1
Instituto de Física e Química, Universidade Federal de Itajubá, Av. BPS 1303, CEP 37500-903, Itajubá, MG, Brazil
2
Centro Brasileiro de Pesquisas Físicas, Rua Dr. Xavier Sigaud 150, Urca, CEP 22290-180, Rio de Janeiro, RJ, Brazil
3
Instituto de Física Gleb Wataghin-UNICAMP, 13083-859, Campinas, SP, Brazil
Received:
17
March
2021
Accepted:
15
May
2021
Published online:
26
May
2021
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 
theory, and perform perturbative expansions in the coupling constant for obtaining relevant thermodynamics quantities.
© The Author(s) 2021
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