Lorentz violation and synchrotron radiation

B. Altschul
Phys. Rev. D 72, 085003 – Published 5 October 2005

Abstract

We consider the radiation emitted by an ultrarelativistic charged particle moving in a magnetic field, in the presence of an additional Lorentz-violating interaction. In contrast with prior work, we treat a form of Lorentz violation that is represented by a renormalizable operator. Neglecting the radiative reaction force, the particle’s trajectory can be determined exactly. The resulting orbit is generally noncircular and does not lie in the plane perpendicular to the magnetic field. We do not consider any Lorentz violation in the electromagnetic sector, so the radiation from the accelerated charge can be determined by standard means, and the radiation spectrum will exhibit a Lorentz-violating directional dependence. Using data on emission from the Crab nebula, we can set a bound on a particular combination of Lorentz-violating coefficients at the 6×1020 level.

  • Received 1 August 2005

DOI:https://doi.org/10.1103/PhysRevD.72.085003

©2005 American Physical Society

Authors & Affiliations

B. Altschul

  • Department of Physics, Indiana University, Bloomington, Indiana 47405 USA

  • *Electronic address: baltschu@indiana.edu

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Issue

Vol. 72, Iss. 8 — 15 October 2005

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