2015/12/31 by E. Joung, Euihun Joung, S. Nakach +3
Physics and Astronomy · #Black Holes and Theoretical Physics #Conformal map #Conformal symmetry #Crossing #Massless particle #Physics of Superconductivity and Magnetism #Quantum Chromodynamics and Particle Interactions #Scalar (mathematics) #Scattering #Scattering amplitude #Spin (aerodynamics) #Spins #hep-th
paper · pdf · doi:10.1007/jhep02(2016)125
29 pages, 11 figures; v3: minor corrections
openalex publication_date 2016/02/01 · openalex created_date 2016/06/24 · arxiv created 2018/05/21 · arxiv updated 2018/05/22 · openalex updated_date 2026/08/05
Theories containing infinite number of higher spin fields require a particular definition of summation over spins consistent with their underlying symmetries. We consider a model of massless scalars interacting (via bilinear conserved currents) with conformal higher spin fields in flat space. We compute the tree-level four-scalar scattering amplitude using a natural prescription for summation over an infinite set of conformal higher spin exchanges and find that it vanishes. Independently, we show that the vanishing of the scalar scattering amplitude is, in fact, implied by the global conformal higher spin symmetry of this model. We also discuss one-loop corrections to the four-scalar scattering amplitude.