Spontaneous Symmetry Breaking for Massive Spin-2 Interacting with Gravity

Details Spontaneous Symmetry Breaking for Massive Spin-2 Interacting with Gravity Spontaneous Symmetry Breaking for Massive Spin-2 Interacting with Gravity

2003-01-05

arxiv.org/abs/hep-th/0301014v2

Phys.Lett. B557 (2003) 247-252

Physics

High Energy Physics

High Energy Physics - Theory

Minor corrections to counting degrees of freedom. References added

Scientific paper

10.1016/S0370-2693(03)00190-4

An action for a massless graviton interacting with a massive tensor field is proposed. The model is based on coupling the metric tensor to an SP(4) gauge theory spontaneously broken to $SL(2,C)$. The symmetry breaking is achieved by using a Higgs multiplet containing a scalar field and a vector field related by a constraint. We show that in the non-unitary gauge and for the Fierz-Pauli form of the mass term, the six degrees of freedom of the massive tensor are identified with two tensor helicities, two vector helicities of the Goldstone vector, and two scalars present in the Goldstone multiplet. The propagators of this system are well behaved, in contrast to the system consisting of two tensors.

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