The full CPT-even photon sector of the Standard Model Extension at finite temperature

Abstract

We study the finite temperature behavior of the CPT-even pure-photon sector of the Standard Model Extension, which is defined by the standard Maxwell Lagrangian plus the term $(k_F{)}_{\mu \nu \alpha \beta }{F}^{\mu \nu }{F}^{\alpha \beta }$. The Hamiltonian analysis is performed, from which the degrees of freedom and constraints of the theory are derived. We have explicitly calculated the partition function for an arbitrary configuration of the $(k_F{)}_{\mu \nu \alpha \beta }$ coefficients, to second order, and we have used it to obtain the thermodynamic properties of the modified photon sector. We find the correction to the frequency dependence in Planck's radiation law, and we identify that the total energy density is adjusted, relative to the standard scenario, by a global proportionality constant containing the Lorentz-violating contributions. Nevertheless, the equation of state is not affected by these modifications.

11 pages, 1 figure

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Cited by in corpus (14)

• Local effects of the quantum vacuum in Lorentz-violating electrodynamics
• Casimir effect between ponderable media as modeled by the standard model extension
• Maxwell electrodynamics modified by CPT-even and Lorentz-violating dimension-6 higher-derivative terms
• Effects of CPT-odd terms of dimensions three and five on electromagnetic propagation in continuous matter
• Maxwell electrodynamics modified by a CPT-odd dimension-five higher-derivative term
• Magnetic-conductivity effects on electromagnetic propagation in dispersive matter
• Cold plasma waves in the chiral Maxwell-Carroll-Field-Jackiw electrodynamics
• Gravitational Searches for Lorentz Violation with Ultracold Neutrons
• The Lorentz-violating real scalar field at thermal equilibrium
• Nonminimal planar electrodynamics modified by higher-derivative terms
• Lorentz-violating contributions to the nuclear Schiff moment and nuclear EDM
• Constraining dimension-six nonminimal Lorentz-violating electron-nucleon interactions with EDM physics
• A dimension five Lorentz-violating nonminimal coupling for mesons in the KLZ model
• Constraining EDM and MDM lepton dimension five interactions in the electroweak sector