English

Cubic interactions of arbitrary spin fields in 3d flat space

High Energy Physics - Theory 2020-10-28 v2

Abstract

Using light-cone gauge formulation, massive arbitrary spin irreducible fields and massless (scalar and one-half spin) fields in three-dimensional flat space are considered. Both the integer spin and half-integer spin fields are studied. For such fields, we provide classification for cubic interactions and obtain explicit expressions for all cubic interaction vertices. We study two forms of the cubic interaction vertices which we refer to as first-derivative form and higher-derivative form. All cubic interaction vertices are built by using the first-derivative form.

Keywords

Cite

@article{arxiv.2005.12224,
  title  = {Cubic interactions of arbitrary spin fields in 3d flat space},
  author = {R. R. Metsaev},
  journal= {arXiv preprint arXiv:2005.12224},
  year   = {2020}
}

Comments

33 pages. v2: New simple higher-derivative representations for some vertices and clarifying remarks added. Appendix B and references added

R2 v1 2026-06-23T15:47:47.038Z