Interacting higher-spin gauge fields on the light front

Abstract

In the light-front formulation of particle dynamics the authors introduce transverse creation and annihilation operators. Using these they formulate a free-field theory containing all massless bosonic representations of the Poincare group. They then derive a cubic vertex as a non-linear realisation in four dimensions. This vertex reproduces previously known cubic interaction terms for arbitrary integer helicity as well as interactions between different helicities. The authors also give a complete list of all possible cubic couplings between massless Bose fields.