Reggeization of N=8 Supergravity and N=4 Yang-Mills Theory II

Abstract

The loop expansion for the n-point functions of N=4 Yang-Mills theory and N=8 supergravity can be formulated as the loop expansion of scalar field theory with an infinite subclass being the ladder diagrams. We consider the sum of ladder diagrams for gluon-gluon and graviton-graviton scattering in the Regge limit. The reggeization of the gluon and the graviton is discussed in this context and that of hep-th/0701217. If the Bern, Dixon, Smirnov conjecture for planar gluon-gluon scattering is correct, then the ladder sum for SU(N) gauge theory at large N, correctly gives the Regge limit, with Regge trajectory function proportional to the cusp anomalous dimension. In graviton-graviton scattering it is argued that the graviton lies on a Regge trajectory. Regge cuts are also present due to infinite sums of non-planar graphs. The multiple exchange of Regge poles in non-planar graphs can give a countable infinite number of moving Regge cuts which accumulate near s=0. It is conjectured that this may be related to the infinite number of non-perturbative massless states which remain in the limit discussed by Green, Ooguri and Schwarz.

13 pages, 1 figure; v2: minor changes, a correction, and added references

References in corpus (6)

• Gluon scattering amplitudes at strong coupling
• Maximally Supersymmetric Planar Yang-Mills Amplitudes at Five Loops
• Ultraviolet properties of Maximal Supergravity
• Unexpected Cancellations in Gravity Theories
• Decoupling Supergravity from the Superstring
• Scattering amplitudes in strongly coupled N=4 SYM from semiclassical strings in AdS

Cited by in corpus (16)

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• A tale of two exponentiations in $\mathcal{N}=8$ supergravity
• Wilson line approach to gravity in the high energy limit
• High energy scattering in gravity and supergravity
• Regge behavior of gluon scattering amplitudes in N=4 SYM theory
• Implications of multi-Regge limits for the Bern-Dixon-Smirnov conjecture
• Four-graviton scattering to three loops in $\mathcal{N}=8$ supergravity
• Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
• N=8 Supergravity on the Light Cone
• Observations on Arithmetic Invariants and U-Duality Orbits in N =8 Supergravity
• On the amplitudes in N=(1,1) D=6 SYM
• Aspects of High Energy Scattering
• Holonomies of gauge fields in twistor space 1: bialgebra, supersymmetry, and gluon amplitudes
• All-loop-orders relation between Regge limits of $\mathcal{N}=4$ SYM and $\mathcal{N}=8$ supergravity four-point amplitudes