On the Vacuum Cherenkov Radiation in Noncommutative Electrodynamics and the Elusive Effects of Lorentz Violation

Abstract

We show that in the framework of noncommutative classical electrodynamics Cherenkov radiation is permitted in vacuum and we explicitly compute its spectrum at first order in the noncommutative parameter. We discuss the phenomenological impact of the merge of this new analysis with the old results of the substantial modification to the spectrum of the synchrotron radiation obtained in P.Castorina, A.Iorio and D.Zappala, Phys. Rev. D 69 (2004)065008. We propose to consider the pulsars' radiation spectrum - due to its very strong magnetic field - to investigate these Lorentz violating effects in astrophysical phenomena.

6 pgs, latex file; published version

References in corpus (3)

• Vacuum Cherenkov radiation
• Synchrotron radiation in Myers-Pospelov effective electrodynamics
• Violation of Lorentz invariance and dynamical effects in high energy gamma rays

Cited by in corpus (9)

• Logarithmic nonlinearity in theories of quantum gravity: Origin of time and observational consequences
• Dispersion Relations in Noncommutative Theories
• Vacuum Cherenkov effect in logarithmic nonlinear quantum theory
• Spontaneous breaking of translational invariance in non-commutative lambda phi^4 theory in two dimensions
• Classical electrodynamics in a space with spin noncommutativity of coordinates
• Three Questions on Lorentz Violation
• Noncommutativity and Lorentz Violation in Relativistic Heavy Ion Collisions
• Alternative Symmetries in Quantum Field Theory and Gravity
• Test of Space-Time Non-Commutativity at the Future Circular Collider