Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1998-04-29
Phys.Lett. B435 (1998) 449-452
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, LaTeX, version to appear in Phys.Lett.B
Scientific paper
10.1016/S0370-2693(98)00823-5
A tiny Lorentz symmetry breaking can be mediated in Electrodynamics by means of the Chern-Simons (CS) interaction polarized along a constant CS vector. Its presence makes the vacuum optically active that has been recently estimated from astrophysical data. We examine two possibilities for the CS vector to be time-like or space-like, under the assumption that it originates from v.e.v. of some pseudoscalar matter. It is shown that: a) a time-like CS vector makes the vacuum unstable under pairs creation of tachyonic photon modes with the finite vacuum decay rate, i.e. it is unlikely realized at macroscopic time scales; b) on the contrary, the space-like CS vector does not yield any tachyonic modes and, moreover, if its dynamical counterpart is substantially described by a scale invariant interaction, then the QED radiation effects induce the dynamical breaking of Lorentz symmetry, i.e. the occurrence of space-like CS vector appears to be rather natural.
Andrianov Alexander A.
Soldati Roberto
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