skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Electrodynamics with Lorentz-violating operators of arbitrary dimension

Abstract

The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density associated with the effective photon propagator. The covariant dispersion relation is obtained, and conditions for birefringence are discussed. We provide a complete characterization of the coefficients for Lorentz violation for all mass dimensions via a decomposition using spin-weighted spherical harmonics. The resulting nine independent sets of spherical coefficients control birefringence, dispersion, and anisotropy in the photon propagator. We discuss the restriction of the general theory to various special models, including among others the minimal standard-model extension, the isotropic limit, the case of vacuum propagation, the nonbirefringent limit, and the vacuum-orthogonal model. The transformation of the spherical coefficients for Lorentz violation between the laboratory frame and the standard Sun-centered frame is provided. We apply the results to various astrophysical observations and laboratory experiments. Astrophysical searches of relevance include studies of birefringence and of dispersion. We use polarimetric and dispersive data from gamma-ray bursts to set constraints on coefficients for Lorentz violation involving operators of dimensions four through nine, and we describe the mixing of polarizations induced bymore » Lorentz and CPT violation in the cosmic-microwave background. Laboratory searches of interest include cavity experiments. We present the general theory for searches with cavities, derive the experiment-dependent factors for coefficients in the vacuum-orthogonal model, and predict the corresponding frequency shift for a circular-cylindrical cavity.« less

Authors:
 [1];  [2]
  1. Physics Department, Indiana University, Bloomington, Indiana 47405 (United States)
  2. Physics Department, Marquette University, Milwaukee, Wisconsin 53201 (United States)
Publication Date:
OSTI Identifier:
21308557
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevD.80.015020; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ANISOTROPY; ASTROPHYSICS; COSMIC GAMMA BURSTS; CPT THEOREM; CYLINDRICAL CONFIGURATION; DENSITY; DISPERSION RELATIONS; ELECTRODYNAMICS; GAUGE INVARIANCE; LORENTZ INVARIANCE; MASS; MIXING; PHOTONS; POLARIZATION; RELICT RADIATION; SPHERICAL CONFIGURATION; SPIN; STANDARD MODEL; SUN; TRANSFORMATIONS

Citation Formats

Kostelecky, V Alan, and Mewes, Matthew. Electrodynamics with Lorentz-violating operators of arbitrary dimension. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.015020.
Kostelecky, V Alan, & Mewes, Matthew. Electrodynamics with Lorentz-violating operators of arbitrary dimension. United States. doi:10.1103/PHYSREVD.80.015020.
Kostelecky, V Alan, and Mewes, Matthew. Wed . "Electrodynamics with Lorentz-violating operators of arbitrary dimension". United States. doi:10.1103/PHYSREVD.80.015020.
@article{osti_21308557,
title = {Electrodynamics with Lorentz-violating operators of arbitrary dimension},
author = {Kostelecky, V Alan and Mewes, Matthew},
abstractNote = {The behavior of photons in the presence of Lorentz and CPT violation is studied. Allowing for operators of arbitrary mass dimension, we classify all gauge-invariant Lorentz- and CPT-violating terms in the quadratic Lagrange density associated with the effective photon propagator. The covariant dispersion relation is obtained, and conditions for birefringence are discussed. We provide a complete characterization of the coefficients for Lorentz violation for all mass dimensions via a decomposition using spin-weighted spherical harmonics. The resulting nine independent sets of spherical coefficients control birefringence, dispersion, and anisotropy in the photon propagator. We discuss the restriction of the general theory to various special models, including among others the minimal standard-model extension, the isotropic limit, the case of vacuum propagation, the nonbirefringent limit, and the vacuum-orthogonal model. The transformation of the spherical coefficients for Lorentz violation between the laboratory frame and the standard Sun-centered frame is provided. We apply the results to various astrophysical observations and laboratory experiments. Astrophysical searches of relevance include studies of birefringence and of dispersion. We use polarimetric and dispersive data from gamma-ray bursts to set constraints on coefficients for Lorentz violation involving operators of dimensions four through nine, and we describe the mixing of polarizations induced by Lorentz and CPT violation in the cosmic-microwave background. Laboratory searches of interest include cavity experiments. We present the general theory for searches with cavities, derive the experiment-dependent factors for coefficients in the vacuum-orthogonal model, and predict the corresponding frequency shift for a circular-cylindrical cavity.},
doi = {10.1103/PHYSREVD.80.015020},
journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 1,
volume = 80,
place = {United States},
year = {2009},
month = {7}
}