@unpublished{Jiménez:2019, author = {Jiménez, JB and Rham, CD and Heisenberg, L}, publisher = {arXiv}, title = {Generalized proca and its constraint algebra}, url = {http://arxiv.org/abs/1906.04805v1}, year = {2019} }
TY - UNPB AB - We reconsider the construction of general derivative self-interactions for amassive Proca field. The constructed Lagrangian is such that the vector fieldpropagates at most three degrees of freedom, thus avoiding the ghostly natureof a fourth polarisation. The construction makes use of the well-knowncondition for constrained systems of having a degenerate Hessian. We brieflydiscuss the casuistry according to the nature of the existing constraintsalgebra. We also explore various classes of interesting new interactions thathave been recently raised in the literature. For the sixth order Lagrangianthat satisfies the constraints by itself we prove its topological character,making such a term irrelevant. There is however a window of opportunity forexploring other classes of fully-nonlinear interactions that satisfy theconstraint algebra by mixing terms of various order. AU - Jiménez,JB AU - Rham,CD AU - Heisenberg,L PB - arXiv PY - 2019/// TI - Generalized proca and its constraint algebra UR - http://arxiv.org/abs/1906.04805v1 UR - http://hdl.handle.net/10044/1/72587 ER -