A stable Lorentz-breaking model for an antisymmetric two-tensor

Fuente: arXiv
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Autor principal: Potting, Robertus
Formato: Preprint
Publicado: 2023
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author Potting, Robertus
author_facet Potting, Robertus
contents In this work we investigate possible actions for antisymmetric two-tensor field models subject to constraints that force the field to acquire a nonzero vacuum expectation value, thereby spontaneously breaking Lorentz invariance. In order to assure stability, we require that the associate Hamiltonian be bounded from below. It is shown that this requirement rules out any quadratic action constructed only from the antisymmetric tensor field. We then explicitly construct a hybrid model consisting of the antisymmetric two-tensor field together with a vector field, subject to constraints forcing nonzero expectation values, that is stable in Minkowski space.
format Preprint
id arxiv_https___arxiv_org_abs_2311_03159
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle A stable Lorentz-breaking model for an antisymmetric two-tensor
Potting, Robertus
High Energy Physics - Theory
In this work we investigate possible actions for antisymmetric two-tensor field models subject to constraints that force the field to acquire a nonzero vacuum expectation value, thereby spontaneously breaking Lorentz invariance. In order to assure stability, we require that the associate Hamiltonian be bounded from below. It is shown that this requirement rules out any quadratic action constructed only from the antisymmetric tensor field. We then explicitly construct a hybrid model consisting of the antisymmetric two-tensor field together with a vector field, subject to constraints forcing nonzero expectation values, that is stable in Minkowski space.
title A stable Lorentz-breaking model for an antisymmetric two-tensor
topic High Energy Physics - Theory
url https://arxiv.org/abs/2311.03159