Remarks on Higgs Mechanism for Gravitons
arXiv:1004.3078 · doi:10.1016/j.physletb.2010.05.048
Abstract
We construct two kinds of model exhibiting Higgs mechanism for gravitons in potentials of scalar fields. One class of the model is based on a potential which is a generic function of the induced internal metric , and the other involves a potential which is a generic function of the usual metric tensor and the induced curved metric . In the both models, we derive conditions on the scalar potential in such a way that gravitons acquire mass in a flat Minkowski space-time without non-unitary propagating modes in the process of spontaneous symmetry breaking of diffeomorphisms through the condensation of scalar fields. We solve the conditions and find a general solution for the potential. As an interesting specific solution, we present a simple potential for which the Higgs mechanism for gravitons holds in any value of cosmological constant.
13 pages
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