Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance
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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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Probing Lorentz Invariance Violation in Z Boson Mass Measurements at High-Energy Colliders
Introduces a LIV term δ_LIV (p·n)^2 in the Z boson dispersion relation and outlines a search strategy in Drell-Yan processes at |Y|>4 for sensitivity down to |δ_LIV|~10^{-8} with possible sidereal modulations.
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