Spontaneous Symmetry Breaking for Massive Spin-2 Interacting with Gravity
نویسنده
چکیده
An action for a massless graviton interacting with a massive spin-2 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 five degrees of freedom of the massive spin-2 are identified with the two tensor helicities, two vector helicities of the Goldstone vector, and a scalar. The propagators of this system are well behaved, in contrast to the system consisting of two tensors. ∗email: [email protected]
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