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2016

Generalized multi-Proca fields

Jiménez, Jose Beltrán, Heisenberg, Lavinia

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We extend previous results on healthy derivative self-interactions for a Proca field to the case of a set of massive vector fields.

We obtain non-gauge invariant derivative self-interactions for the vector fields that maintain the appropriate number of propagating degrees of freedom.
In view of the potential cosmological applications, we restrict to interactions with an internal rotational symmetry.
We provide a systematical construction order by order in derivatives of the fields and making use of the antisymmetric Levi-Civita tensor.

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