%0 Journal Article
%T Generalization of the Proca Action
%A Lavinia Heisenberg
%J Physics
%D 2014
%I arXiv
%R 10.1088/1475-7516/2014/05/015
%X We consider the Lagrangian of a vector field with derivative self-interactions with a priori arbitrary coefficients. Starting with a flat space-time we show that for a special choice of the coefficients of the self-interactions the ghost-like pathologies disappear. This constitutes the Galileon-type generalization of the Proca action with only three propagating physical degrees of freedom. The longitudinal mode of the vector field is associated to the usual Galileon interactions for a specific choice of the overall functions. In difference to a scalar Galileon theory, the generalized Proca field has more free parameters. We then extend this analysis to a curved background. The resulting theory is the Horndeski Proca action with second order equations of motion on curved space-times.
%U http://arxiv.org/abs/1402.7026v2