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

Abstract

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

24 pages, 13 figures

References in corpus (11)

• Quantum Gravity at a Lifshitz Point
• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• The Superluminous Transient ASASSN-15lh as a Tidal Disruption Event from a Kerr Black Hole
• What Do We Know About Lorentz Invariance?
• Tests of Lorentz symmetry in the gravitational sector
• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Bouncing universe in a heat bath
• Lorentz Invariance Violation from String Theory
• Geometric effects on the electronic structure of curved nanotubes and curved graphene: the case of the helix, catenary, helicoid, and catenoid
• Fermions on a torus knot

Cited by in corpus (32)

• An exact stationary axisymmetric vacuum solution within a metric--affine bumblebee gravity
• Gravitational signatures of a non--commutative stable black hole
• Thermodynamics and evaporation of a modified Schwarzschild black hole in a non--commutative gauge theory
• Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies
• How does non-metricity affect particle creation and evaporation in bumblebee gravity?
• Thermal analysis of photon-like particles in rainbow gravity
• Gravitational traces of bumblebee gravity in metric-affine formalism
• Bouncing universe in a heat bath
• Analysis of a regular black hole in Verlinde's gravity
• Particles in Loop Quantum Gravity formalism: a thermodynamical description
• Gravitational waves effects in a Lorentz-violating scenario
• Thermodynamical properties of an ideal gas in a traversable wormhole
• Modified particle dynamics and thermodynamics in a traversable wormhole in bumblebee gravity
• Particle creation and evaporation in Kalb-Ramond gravity
• Thermodynamics of massless particles in curved spacetime
• Dunkl-Pauli Equation in the Presence of a Magnetic Field
• The impact of an antisymmetric tensor on charged black holes: evaporation process, geodesics, deflection angle, scattering effects and quasinormal modes
• Implications of a Simpson-Visser solution in Verlinde's framework
• Thermodynamics of a quantum ring modified by Lorentz violation
• Fermions on a torus knot
• Influence of a Kalb-Ramond black hole on neutrino behavior
• Antisymmetric tensor influence on charged black hole lensing phenomena and time delay
• The Lorentz-violating real scalar field at thermal equilibrium
• Particle motion and thermal effects around a Kalb-Ramond black hole
• The Horava-Lifshitz Modifications of the Casimir effect at finite temperature revisted
• One-loop Schwinger effect in the presence of Lorentz-violating background fields
• Quantum gases on a torus
• An anisotropic rotating cosmic string with Lorentz violation: thermodynamics and Landau levels
• Fermions with Electric Dipole Moment in curved spacetime
• Fermionic quantum gas at finite temperature within a Lorentz violating background
• Lorentz-violating modifications to particle dynamics, thermodynamics and vacuum energy in bumblebee gravity
• Effects of bumblebee gravity on neutrino motion