Violation of Lorentz invariance and dynamical effects in high energy gamma rays

The relation between the violation of Lorentz invariance and the dynamical effects in high energy gamma rays production is discussed. By using the framework of noncommutative classical electrodynamics, it is shown that full dynamical calculations are required to put bounds on the Lorentz violating scale by the phenomenological analysis of these processes as, for example, the synchrotron radiation from the CRAB nebula. It is observed that an improvement of the present bound on the scale of noncommutativity can be obtained only by astrophysical observations of gamma ray spectra in strong magnetic fields such as pulsars.