Quintic vertices of spin 3, vector and scalar fields

Abstract

As a result of special deformations of free gauge models of massless spin 3, massive vector and real scalar fields, quintic vertices within new approach (Buchbinder and Lavrov in

On interactions of massless integer high spin and scalar fields

“…Later on, for the first time in the history of the high spin theory quintic vertices describing local interactions between spin 3 field and scalar and vector fields in exact form were found [38]. All found vertices with massless spin 3 field [36,37,38] had an unique form of local functionals which were invariant under original gauge transformations. Next step in constructions of consistent interactions within the new method was made in [39] where the case of massless spin 4 field interacting with scalar field was studied.…”

“…On this way it was proved that cubic vertices for interacting spin 3 field with scalar and massive vector field being invariant under original gauge transformations were forbidden while quartic vertices can be explicitly constructed [36,37]. Later on, for the first time in the history of the high spin theory quintic vertices describing local interactions between spin 3 field and scalar and vector fields in exact form were found [38]. All found vertices with massless spin 3 field [36,37,38] had an unique form of local functionals which were invariant under original gauge transformations.…”

“…Constrained presentation of these vertices used one parameter only. Here, it is interesting to note that after construction of models with quintic vertices [38], in the high spin theory local gauge invariant vertices of any order are introduced.…”

“…In the present paper, we are going to extend results of papers [36,37,38,39] to the case of massless integer spin s fields using general statements of the new method.…”

“…In fact, this method opens a new way in constructions of gauge models with interactions between fields. Among achievements of new method there are models containing quartic and quintic vertices for massless spin 3, massive vector and scalar fields [36,37,38] as well as cubic vertices for massless spin 4, massive vector and scalar fields [39]. All these models are described in an exact and closed form in terms of local functionals of finite orders in fields which are invariant under original gauge transformations.…”