Light-by-Light Scattering Effect in Light-Cone Supergraphs

Jun, 2010
9 pages
e-Print:

Citations per year

20102011201220132014521
Abstract: (arXiv)
We give a relatively simple explanation of the light-cone supergraph prediction for the UV properties of the maximally supersymmetric theories. It is based on the existence of a dynamical supersymmetry which is not manifest in the light-cone supergraphs. It suggests that N=4 supersymmetric Yang-Mills theory is UV finite and N=8 supergravity is UV finite at least until 7 loops whereas the nn-point amplitudes have no UV divergences at least until L=n+3L=n+3. Here we show that this prediction can be deduced from the properties of light-cone supergraphs analogous to the light-by-light scattering effect in QED. A technical aspect of the argument relies on the observation that the dynamical supersymmetry action is, in fact, a compensating field-dependent gauge transformation required for the retaining the light-cone gauge condition A+=0A_+=0.
  • photon photon: scattering
  • gauge field theory: Yang-Mills
  • supersymmetry: 4
  • transformation: gauge
  • supergravity: 8
  • ultraviolet
  • light cone
  • quantum electrodynamics
  • light cone gauge
  • perturbation theory: higher-order