Cubic interactions of arbitrary spin fields in 3d flat space

Abstract

Abstract Using light-cone gauge formulation, massive arbitrary spin irreducible fields and massless (scalar and spin one-half) 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.