Constrained Gauge Fields from Spontaneous Lorentz Violation

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dc.creatorChkareuli, J. L.
dc.creatorFroggatt, C. D.
dc.creatorJejelava, J. G.
dc.creatorNielsen, H. B.
dc.date2007-10-18
dc.date2007-12-10
dc.date.accessioned2026-07-07T11:38:12Z
dc.date.available2026-07-07T11:38:12Z
dc.descriptionSpontaneous Lorentz violation realized through a nonlinear vector field constraint of the type $A_μA^μ=M^{2}$ ($M$ is the proposed scale for Lorentz violation) is shown to generate massless vector Goldstone bosons, gauging the starting global internal symmetries in arbitrary relativistically invariant theories. The gauge invariance appears in essence as a necessary condition for these bosons not to be superfluously restricted in degrees of freedom, apart from the constraint due to which the true vacuum in a theory is chosen by the Lorentz violation. In the Abelian symmetry case the only possible theory proves to be QED with a massless vector Goldstone boson naturally associated with the photon, while the non-Abelian symmetry case results in a conventional Yang-Mills theory. These theories, both Abelian and non-Abelian, look essentially nonlinear and contain particular Lorentz (and $CPT$) violating couplings when expressed in terms of the pure Goldstone vector modes. However, they do not lead to physical Lorentz violation due to the simultaneously generated gauge invariance.
dc.description15 pages, minor corrections, version to be published in Nucl. Phys. B
dc.identifierhttps://arxiv.org/abs/0710.3479
dc.identifierhttp://arxiv.org/abs/0710.3479
dc.identifierNucl.Phys.B796:211-223,2008
dc.identifierdoi:10.1016/j.nuclphysb.2007.12.006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199478
dc.subjectHigh Energy Physics - Theory
dc.subjectHigh Energy Physics - Phenomenology
dc.titleConstrained Gauge Fields from Spontaneous Lorentz Violation
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