Four point function of R-currents in N=4 SYM in the Regge limit at weak coupling

TL;DR

This paper calculates the four-point correlation function of R-currents in N=4 SYM theory at weak coupling in the Regge limit, demonstrating Regge factorization and computing impact factors, akin to photon-photon scattering in QCD.

Contribution

It provides the first explicit computation of R-current impact factors and proves Regge factorization in N=4 SYM at weak coupling.

Findings

Confirmed Regge factorization for R-currents

Computed impact factors explicitly

Established parallels with photon-photon scattering

Abstract

We compute, in N=4 super Yang-Mills theory, the four point correlation function of R-currents in the Regge limit in the leading logarithmic approximation at weak coupling. Such a correlator is the closest analog to photon-photon scattering within QCD, and there is a well-defined procedure to perform the analogous computation at strong coupling via the AdS/CFT correspondence. The main result of this paper is, on the gauge theory side, the proof of Regge factorization and the explicit computation of the R-current impact factors.