English

Interacting massive and massless arbitrary spin fields in 4d flat space

High Energy Physics - Theory 2022-10-05 v2

Abstract

Massive and massless arbitrary integer spin fields propagating in four-dimensional flat space are studied. The massive and massless fields are treated by using a light-cone gauge helicity basis formalism. Cubic cross-interactions between massive and massless fields and cubic interactions between massive fields are investigated. We introduce a classification of such cubic interactions and using our classification we build all cubic interaction vertices. Realization of generators of the Poincare algebra on space of interacting fields is found. As a by-product, some illustrative examples of light-cone form for 3-point invariant amplitudes of massive and massless fields are also discussed.

Keywords

Cite

@article{arxiv.2206.13268,
  title  = {Interacting massive and massless arbitrary spin fields in 4d flat space},
  author = {R. R. Metsaev},
  journal= {arXiv preprint arXiv:2206.13268},
  year   = {2022}
}

Comments

43 pages, v2: Brief comments on numbers of cubic vertices in Secs.7-11 added. Typos corrected. References added

R2 v1 2026-06-24T12:05:16.503Z