Width of photon decay in a magnetic field: Elementary semiclassical derivation and sensitivity to Lorentz violation
Abstract
We present an elementary derivation of the width of photon decay in a weak magnetic field using the semiclassical method of worldline instantons. The calculation is generalized to a model of quantum electrodynamics with broken Lorentz symmetry. Implications for the search of deviations from Lorentz invariance in the cosmic ray experiments are discussed.
 Publication:

Physical Review D
 Pub Date:
 May 2013
 DOI:
 10.1103/PhysRevD.87.105015
 arXiv:
 arXiv:1301.5707
 Bibcode:
 2013PhRvD..87j5015S
 Keywords:

 11.15.Kc;
 11.30.Cp;
 Classical and semiclassical techniques;
 Lorentz and Poincare invariance;
 High Energy Physics  Theory;
 Astrophysics  High Energy Astrophysical Phenomena;
 High Energy Physics  Phenomenology
 EPrint:
 12 pages, 1 figure