2022/11/29 by P. M. Lavrov, Lavrov, P. M.
Physics and Astronomy · #Atomic and Subatomic Physics Research #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Particle physics theoretical and experimental studies
paper · pdf · doi:10.48550/arxiv.2211.15962
openalex publication_date 2022/11/29 · openalex created_date 2022/12/11 · openalex updated_date 2026/07/28
New method (arXiv:2104.11930) is applied to construct cubic interactions of massless spin 4 and real scalar fields. In contrast with the case of massless spin 3 fields (arXiv:2208.05700, 2209.03678, 2210.02842) the procedure requires to use an unconstrained formulation (arXiv:0702.161) for the Fronsdal theory. It is shown that in the unconstrained formulation there exists a four-parameter family of cubic interactions between massless spin 4 and real scalar fields, which contains four derivatives in vertices and is invariant with respect to the original gauge transformation. These vertices contain cubic interactions between auxiliary and scalar fields too. Eliminating all auxiliary fields from the obtained result using the equations of motion for the initial action gives a one-parameter family of cubic vertices for constrained massless spin 4 and real scalar fields, Such cubic vertices are invariant with respect to constrained gauge transformations of the Fronsdal theory.