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Title: Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation

Abstract

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.

Authors:
 [1]
  1. Department of Physics, Indiana University, Bloomington, Indiana 47405 (United States)
Publication Date:
OSTI Identifier:
20861633
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review Letters; Journal Volume: 98; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevLett.98.041603; (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; CHERENKOV RADIATION; PHOTON EMISSION; PHOTONS; SYMMETRY; THRESHOLD ENERGY

Citation Formats

Altschul, Brett. Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation. United States: N. p., 2007. Web. doi:10.1103/PHYSREVLETT.98.041603.
Altschul, Brett. Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation. United States. doi:10.1103/PHYSREVLETT.98.041603.
Altschul, Brett. Fri . "Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation". United States. doi:10.1103/PHYSREVLETT.98.041603.
@article{osti_20861633,
title = {Vacuum Cerenkov Radiation in Lorentz-Violating Theories Without CPT Violation},
author = {Altschul, Brett},
abstractNote = {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.},
doi = {10.1103/PHYSREVLETT.98.041603},
journal = {Physical Review Letters},
number = 4,
volume = 98,
place = {United States},
year = {Fri Jan 26 00:00:00 EST 2007},
month = {Fri Jan 26 00:00:00 EST 2007}
}
  • 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.
  • Solutions to the Dirac equation for an electron moving in a central electrostatic and a constant uniform magnetic field are considered within extended electrodynamics (in the presence of Lorentz-invariance violation of the minimal CPT-odd form). On the basis of these solutions, the features of electromagnetic radiation from a hydrogen-like atom and the features of electron synchrotron radiation are calculated, and possible observable effects caused by the assumed Lorentz-invariance violation are described.
  • 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
  • We calculate, by the method of dimensional regularization and derivative expansion, the one-loop effective action for a Dirac fermion with a Lorentz-violating and CPT-odd kinetic term in the background of a gauge field. We show that this term induces a Chern-Simons modification to Maxwell theory. Some related issues are also discussed. [copyright] [ital 1999] [ital The American Physical Society]