Lorentz-violating contributions of the Carroll-Field-Jackiw model to the CMB anisotropy

Abstract

We study the finite temperature properties of the Maxwell-Carroll-Field-Jackiw (MCFJ) electrodynamics for a purely spacelike background. Starting from the associated finite temperature partition function, a modified black body spectral distribution is obtained. We thus show that, if the CMB radiation is described by this model, the spectrum presents an anisotropic angular energy density distribution. We show, at leading order, that the Lorentz-breaking contributions for the Planck's radiation law and for the Stefan-Boltzmann's law are nonlinear in frequency and quadratic in temperature, respectively. Using our results, we set up bounds for the Lorentz-breaking parameter, and show that Lorentz violation in the context of the MCFJ model is unable to yield the known CMB anisotropy (of 1 part in $10^5)$.

References in corpus (16)

• Three-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Temperature Analysis
• Sensitive polarimetric search for relativity violations in gamma-ray bursts
• Lorentz-violating electrodynamics and the cosmic microwave background
• Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation
• Lorentz violation in the linearized gravity
• Finite Duration and Energy Effects in Lorentz-Violating Vacuum Cerenkov Radiation
• On the induction of the four-dimensional Lorentz-breaking non-Abelian Chern-Simons action
• Lorentz violation and the proper-time method
• On Dirac-like Monopoles in a Lorentz- and CPT-violating Electrodynamics
• Classical solutions for the Carroll-Field-Jackiw-Proca electrodynamics
• Quantum Fields with Noncommutative Target Spaces
• Particle interference as a test of Lorentz-violating electrodynamics
• Noncommutative Black-Body Radiation: Implications On Cosmic Microwave Background
• Black-Body Radiation Of Noncommutative Gauge Fields
• Blackbody radiation in κ-Minkowski spacetime
• Black-Body Anomaly: Analysis of Temperature Offsets

Cited by in corpus (9)

• Electrodynamics with Lorentz-violating operators of arbitrary dimension
• 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
• Finite Temperature behavior of the CPT-even and parity-even electrodynamics of the Standard Model Extension
• Remarks on the Aharonov-Casher dynamics in a CPT-odd Lorentz-violating background
• Primordial Magnetic Helicity Constraints from WMAP Nine-Year Data
• Stationary solutions for the parity-even sector of the CPT-even and Lorentz-covariance-violating term of the standard model extension
• Cosmological birefringent constraints on light
• Emission and absorption of photons and the black-body spectra in Lorentz-odd Electrodynamics