Nonlinear massive QED and physical Lorentz invariance

The spontaneous Lorentz invariance violation (SLIV) developing in QED type theories with the nonlinear four-vector field constraint Aμ2=M2 (where M is a proposed scale of the Lorentz violation) is considered in the case when the internal U(1) charge symmetry is also spontaneously broken. We show tha...

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Bibliographic Details
Published in:Physics letters. B 2007-01, Vol.644 (2-3), p.212-217
Main Authors: Chkareuli, J.L., Kepuladze, Z.R.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Nuclear physics
Physics
The physics of elementary particles and fields
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Summary:The spontaneous Lorentz invariance violation (SLIV) developing in QED type theories with the nonlinear four-vector field constraint Aμ2=M2 (where M is a proposed scale of the Lorentz violation) is considered in the case when the internal U(1) charge symmetry is also spontaneously broken. We show that such a SLIV pattern induces the genuine vector Goldstone boson which appears massless when the U(1) symmetry is exact and becomes massive in its broken phase. However, for both of phases an apparent Lorentz violation is completely canceled out in all the observable processes so that the physical Lorentz invariance in theory is ultimately restored.
ISSN:0370-2693
1873-2445
DOI:10.1016/j.physletb.2006.11.045