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Title: Cerenkov radiation in a Lorentz-violating and birefringent vacuum

Abstract

We calculate the emission spectrum for vacuum Cerenkov radiation in Lorentz-violating extensions of electrodynamics. We develop an approach that works equally well in the presence or the absence of birefringence. In addition to confirming earlier work, we present the first calculation relevant to Cerenkov radiation in the presence of a birefringent photon k{sub F} term, calculating the lower-energy part of the spectrum for that case.

Authors:
 [1]
  1. Department of Physics Indiana University, Bloomington, Indiana 47405 (United States)
Publication Date:
OSTI Identifier:
20933296
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.105003; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BIREFRINGENCE; CHERENKOV RADIATION; CPT THEOREM; EMISSION SPECTRA; LORENTZ INVARIANCE; PHOTONS; QUANTUM ELECTRODYNAMICS; UNIFIED-FIELD THEORIES

Citation Formats

Altschul, Brett. Cerenkov radiation in a Lorentz-violating and birefringent vacuum. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.105003.
Altschul, Brett. Cerenkov radiation in a Lorentz-violating and birefringent vacuum. United States. doi:10.1103/PHYSREVD.75.105003.
Altschul, Brett. Tue . "Cerenkov radiation in a Lorentz-violating and birefringent vacuum". United States. doi:10.1103/PHYSREVD.75.105003.
@article{osti_20933296,
title = {Cerenkov radiation in a Lorentz-violating and birefringent vacuum},
author = {Altschul, Brett},
abstractNote = {We calculate the emission spectrum for vacuum Cerenkov radiation in Lorentz-violating extensions of electrodynamics. We develop an approach that works equally well in the presence or the absence of birefringence. In addition to confirming earlier work, we present the first calculation relevant to Cerenkov radiation in the presence of a birefringent photon k{sub F} term, calculating the lower-energy part of the spectrum for that case.},
doi = {10.1103/PHYSREVD.75.105003},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}
  • In theories with broken Lorentz symmetry, Cerenkov radiation may be possible even in vacuum. We analyze the Cerenkov emissions that are associated with the least constrained Lorentz-violating modifications of the photon sector, calculating the threshold energy, the frequency spectrum, and the shape of the Mach cone. In order to obtain sensible results for the total power emitted, we must make use of information contained within the theory which indicates at what scale new physics must enter.
  • The emission of electromagnetic radiation by charges moving uniformly in a Lorentz-violating vacuum is studied. The analysis is performed within the classical Maxwell-Chern-Simons limit of the Standard-Model Extension and confirms the possibility of a Cerenkov-type effect. In this context, various properties of Cerenkov radiation including the rate, polarization, and propagation features, are discussed, and the backreaction on the charge is investigated. An interpretation of this effect supplementing the conventional one is given. The emerging physical picture leads to a universal methodology for studying the Cerenkov effect in more general situations.
  • No abstract prepared.
  • Limits on gravitational Cerenkov radiation by cosmic rays are obtained and used to constrain coefficients for Lorentz violation in the gravity sector associated with operators of even mass dimensions, including orientation-dependent effects. We use existing data from cosmic-ray telescopes to obtain conservative two-sided constraints on 80 distinct Lorentz-violating operators of dimensions four, six, and eight, along with conservative one-sided constraints on three others. Existing limits on the nine minimal operators at dimension four are improved by factors of up to a billion, while 74 of our explicit limits represent stringent first constraints on nonminimal operators. As a result, prospects aremore » discussed for future analyses incorporating effects of Lorentz violation in the matter sector, the role of gravitational Cerenkov radiation by high-energy photons, data from gravitational-wave observatories, the tired-light effect, and electromagnetic Cerenkov radiation by gravitons.« less
  • Limits on gravitational Cerenkov radiation by cosmic rays are obtained and used to constrain coefficients for Lorentz violation in the gravity sector associated with operators of even mass dimensions, including orientation-dependent effects. We use existing data from cosmic-ray telescopes to obtain conservative two-sided constraints on 80 distinct Lorentz-violating operators of dimensions four, six, and eight, along with conservative one-sided constraints on three others. Existing limits on the nine minimal operators at dimension four are improved by factors of up to a billion, while 74 of our explicit limits represent stringent first constraints on nonminimal operators. As a result, prospects aremore » discussed for future analyses incorporating effects of Lorentz violation in the matter sector, the role of gravitational Cerenkov radiation by high-energy photons, data from gravitational-wave observatories, the tired-light effect, and electromagnetic Cerenkov radiation by gravitons.« less