Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension

Abstract

In this work, we examine the finite temperature properties of the CPT-even and Lorentz-invariance-violating (LIV) electrodynamics of the standard model extension, represented by the term $W_{\alpha \nu \rho \varphi }{F}^{\alpha \nu }{F}^{\rho \varphi }$. We begin analyzing the hamiltonian structure following the Dirac's procedure for constrained systems and construct a well-defined and gauge invariant partition function in the functional integral formalism. Next, we specialize for the non-birefringent coefficients of the tensor $W_{\alpha \nu \rho \varphi }$. In the sequel, the partition function is explicitly carried out for the parity-even sector of the tensor $W_{\alpha \nu \rho \varphi }$. The modified partition function is a power of the Maxwell's partition function. It is observed that the LIV coefficients induce an anisotropy in the black body angular energy density distribution. The Planck's radiation law, however, retains its frequency dependence and the Stefan-Boltzmann law keeps the usual form, except for a change in the Stefan-Boltzmann constant by a factor containing the LIV contributions.

Revised version

References in corpus (34)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Magnetic Moment Generation from non-minimal couplings in a scenario with Lorentz-Symmetry Violation
• Gauge Invariance and the Pauli-Villars Regulator in Lorentz- and CPT-Violating Electrodynamics
• Addendum: Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Ultrahigh-energy cosmic-ray bounds on nonbirefringent modified-Maxwell theory
• Limits on isotropic Lorentz violation in QED from collider physics
• Cerenkov Radiation in a Lorentz-Violating and Birefringent Vacuum
• Vacuum Cherenkov radiation in spacelike Maxwell-Chern-Simons theory
• New Bounds on Isotropic Lorentz Violation
• Gauge invariance and the CPT and Lorentz violating induced Chern-Simons-like term in extended QED
• On the consistency of Lorentz invariance violation in QED induced by fermions in constant axial-vector background
• Synchrotron and Inverse Compton Constraints on Lorentz Violations for Electrons
• Lorentz-CPT violation, radiative corrections and finite temperature
• Compton Scattering in the Presence of Lorentz and CPT Violation
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• The Casimir Force in a Lorentz Violating Theory
• Lorentz Violation and Synchrotron Radiation
• Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy
• On the renormalization of CPT/Lorentz violating QED in curved space
• Induced Chern-Simons-like action in Lorentz-violating massless QED
• Spacetime symmetries of the Lorentz-violating Maxwell-Chern-Simons model
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• The ambiguity-free four-dimensional Lorentz-breaking Chern-Simons action
• Dynamical Lorentz and CPT symmetry breaking in a 4D four-fermion model
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Yukawa Corrections from Four-Point Functions in Intersecting D6-Brane Models
• Particle interference as a test of Lorentz-violating electrodynamics
• N=1 Supersymetric Quantum Mechanics in a Scenario with Lorentz-Symmetry Violation
• Emission and absorption of photons and the black-body spectra in Lorentz-odd Electrodynamics
• Electrostatic and Magnetostatic Solutions in a Lorentz-Violating Electrodynamics Model
• Standstill Electric Charge Generates Magnetostatic Field Under Born-Infeld Electrodynamics

Cited by in corpus (7)

• Feynman propagator for the nonbirefringent CPT-even electrodynamics of the Standard Model Extension
• Casimir effect between ponderable media as modeled by the standard model extension
• Massive photons from Super and Lorentz symmetry breaking
• Gupta--Bleuler's quantization of the anisotropic parity-even and CPT-even electrodynamics of standard model extension
• Cosmological birefringent constraints on light
• Ambiguities of the CPT-even aether-like Lorentz-breaking term at the finite temperature
• On the duality in CPT-even Lorentz-breaking theories