The Lorentz-violating real scalar field at thermal equilibriumA. R. Aguirre, G. Flores-Hidalgo, R. G. Rana and E. S. SouzaEur. Phys. J. C, 81 5 (2021) 459DOI: https://doi.org/10.1140/epjc/s10052-021-09250-1