Lorentz-violating dimension-five operator contribution to the black body radiation

Abstract

We investigate the thermodynamics of a photon gas in an effective field theory model that describes Lorentz violations through dimension-five operators and Horava-Lifshitz theory. We explore the electrodynamics of the model which includes higher order derivatives in the Lagrangian that can modify the dispersion relation for the propagation of the photons. We shall focus on the deformed black body radiation spectrum and modified Stefan-Boltzmann law to address the allowed bounds on the Lorentz-violating parameter.

Black brane in asymptotically Lifshitz spacetime and viscosity/entropy ratios in Horndeski gravity

“…This happens as the critical exponent assumes z ± = (3 ± √ 13)/2, or approximately, z − ≃ −0.3 or z + ≃ 3.3. Non integer critical exponents have appeared in previous studies, e.g., [33,[48][49][50][51] -and references therein. Specially in [48,49] the authors argue that although the Lifshitz critical exponents in the action of a quantum field theory developing Lifshitz symmetry are assumed to be integer, there is no such limitation indeed since the obtained dispersion relation in the Hamiltonian density associated with the quantized theory shows the exact analytic continuation to non integer values of z.…”

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

“…and, therefore, we can explicitly write down the partition function in a manner similar to Refs. [23,36] as follows:…”

“…The methodology for studying the thermodynamical aspects in LV theories has firstly been presented in [16]. Since then, various applications of this procedure have been developed [17][18][19][20][21][22][23][24][25][26]. However, the higherderivative cases have not been much explored up to now in this context.…”

The Casimir effect for the scalar and Elko fields in a Lifshitz-like field theory

“…However, the usual Lorentz symmetry is preserved at low energies [16,43]. The HL theory in the curved space has several applications, for example, in cosmology [44][45][46], black holes [47,48], gravitational waves [48][49][50], and black body radiation [51]. Alternatively, when gravity effects are not considered, a field theory at a Lifshitz fixed point (LP) in the flat spacetime has some applications to the Casimir effect [16,17].…”