Higher-derivative Lorentz-breaking dispersion relations: a thermal description

Abstract This paper is devoted to study the thermal aspects of a photon gas within context Planck-scale-modified dispersion relations. We spectrum radiation and correction Stefan–Boltzmann law in different cases when Lorentz symmetry no longer preserved. Explicitly, we examine two models CPT-even CPT-odd sectors respectively. To do so, three distinct scenarios Universe are considered: Cosmic Microwave Background (CMB), electroweak epoch, inflationary era. Moreover, equations state these turn out display dependence on Lorentz-breaking parameters. Finally, also provide for both theories analyses Helmholtz free energy, mean entropy heat capacity.