Lorentz violation and synchrotron radiation
Abstract
We consider the radiation emitted by an ultrarelativistic charged particle moving in a magnetic field, in the presence of an additional Lorentzviolating 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 Lorentzviolating directional dependence. Using data on emission from the Crab nebula, we can set a bound on a particular combination of Lorentzviolating coefficients at the 6×10^{20} level.
 Publication:

Physical Review D
 Pub Date:
 October 2005
 DOI:
 10.1103/PhysRevD.72.085003
 arXiv:
 arXiv:hepth/0507258
 Bibcode:
 2005PhRvD..72h5003A
 Keywords:

 11.30.Cp;
 41.60.Ap;
 12.20.Fv;
 98.58.Mj;
 Lorentz and Poincare invariance;
 Synchrotron radiation;
 Experimental tests;
 Supernova remnants;
 High Energy Physics  Theory;
 High Energy Physics  Phenomenology
 EPrint:
 14 pages