Spontaneous Lorentz Violation via QED with Non-Exact Gauge Invariance

Abstract

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.

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

References in corpus (18)

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• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Gravity, Lorentz Violation, and the Standard Model
• High-Energy Tests of Lorentz Invariance
• Extension of the Cosmic-Ray Energy Spectrum Beyond the Predicted Greisen-Zatsepin-Kuz'min Cutoff
• Detection of a Cosmic Ray with Measured Energy Well Beyond the Expected Spectral Cutoff due to Cosmic Microwave Radiation
• Stability, Causality, and Lorentz and CPT Violation
• Spontaneous Lorentz Violation, Nambu-Goldstone Modes, and Gravity
• Cosmic Ray and Neutrino Tests of Special Relativity
• Energy determination in the Akeno Giant Air Shower Array experiment
• Photons and Gravitons as Goldstone Bosons, and the Cosmological Constant
• Spontaneous Breaking of Lorentz Invariance
• Lorentz Invariance and Origin of Symmetries
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• Spontaneous Lorentz Violation: Non-Abelian Gauge Fields as Pseudo-Goldstone Vector Bosons
• Constrained Gauge Fields from Spontaneous Lorentz Violation
• Spontaneously Generated Gauge Invariance

Cited by in corpus (11)

• Missing Transverse-Doppler Effect in Time-Dilation Experiments with High-Speed Ions
• Standard Model with Partial Gauge Invariance
• Poincaré gauge gravity: an emergent scenario
• Photon and photino as Nambu-Goldstone zero modes in an emergent SUSY QED
• Gauge Fields as Goldstone Bosons Triggered by Spontaneously Broken Supersymmetry
• Gauge Fields as Constrained Composite Bosons
• Probing Lorentz Invariance Violation in Z Boson Mass Measurements at High-Energy Colliders
• Emergent SUSY Theories: QED, SM & GUT
• On the lightlike Lorentz violation
• Gauge Symmetries Emerging from Extra Dimensions
• Quantum Gravity in Plebanski Formulation