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

Abstract

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 $n$-point amplitudes have no UV divergences at least until $L=n+3$. 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 $A_{+}=0$.

9 pages

References in corpus (10)

• What is the Simplest Quantum Field Theory?
• The Ultraviolet Behavior of N=8 Supergravity at Four Loops
• Three-Loop Superfiniteness of N=8 Supergravity
• A simple approach to counterterms in N=8 supergravity
• Explicit Action of E7(7) on N=8 Supergravity Fields
• Non-linear Realization of PSU(2,2|4) on the Light-Cone
• N=8 Supergravity on the Light Cone
• Progress on Ultraviolet Finiteness of Supergravity
• On a possibility of a UV finite N=8 supergravity
• New N=4 SYM Path Integral

Cited by in corpus (2)

• A note on N=8 counterterms
• An Update on Perturbative N=8 Supergravity