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OKC - Theory Working Group

The canonical  definition of generalized Proca theories and beyond

by Julio Mendez (Max Planck Institute for Physics)

As it is well known, the Lagrangian picture of any theory is not the best suited for a faithful counting of degrees of freedom. On the other hand, implementing purely Hamiltonian approaches to singular theories can be quite involved and not so practical, in particular when non-linearities are present. In this talk, we present a hybrid Lagrangian-Hamiltonian constraint algebra characterization of vector theories which are first order and Abelian. Such theories are generically referred to as generalized Proca theories or vector Galileons. Our machinery provides an unequivocal degree of freedom counting and it unveils the necessary and sufficient conditions to avoid ghosts.