Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance

Details Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance

2008-02-14

arxiv.org/abs/0802.1950v3

Eur.Phys.J.C55:309-316,2008

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, to appear in Eur.Phys.J. C

Scientific paper

10.1140/epjc/s10052-008-0574-x

We reconsider an alternative theory of the QED with the photon as a massless vector Nambu-Goldstone boson and show that the underlying spontaneous Lorentz violation caused by the vector field vacuum expectation value, while being superficial in gauge invariant theory, becomes physically significant in the QED with a tiny gauge non-invariance. This leads, through special dispersion relations appearing for charged fermions, to a new class of phenomena which could be of distinctive observational interest in particle physics and astrophysics. They include a significant change in the GZK cutoff for UHE cosmic-ray nucleons, stability of high-energy pions and W bosons, modification of nucleon beta decays, and some others.

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