Modified energy-momentum conservation laws and vacuum Cherenkov radiation
arXiv:1409.8181 · doi:10.1016/j.astropartphys.2015.04.009
Abstract
We present a general parametrization for the leading order terms in a momentum power expansion of a non-universal Lorentz-violating, but rotational invariant, kinematics and its implications for two-body decay thresholds. The considered framework includes not only modified dispersion relations for particles, but also modified energy-momentum conservation laws, something which goes beyond effective field theory. As a particular and relevant example, bounds on the departures from special relativistic kinematics from the non-observation of vacuum Cherenkov radiation are discussed and compared with those obtained within the effective field theory scenario.
15 pages, 3 figures; some minor changes, especially an updated reference to a related work by the authors
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