The Gluon Green's Function in N=4 Supersymmetric Yang-Mills Theory
Jeppe R. Andersen (1), Agustin Sabio Vera (2) ((1) Cambridge U. &, Cambridge U., DAMTP, (2) Hamburg U.)
TL;DR
This paper investigates the gluon Green's function in N=4 supersymmetric Yang-Mills theory at high energies by solving the BFKL equation in next-to-leading order, introducing a new method for analyzing conformal spins.
Contribution
It presents a novel approach for analyzing the gluon Green's function, achieving complete agreement with prior conformal spin and angular dependence results.
Findings
Confirmed conformal spin contributions using the new method
Achieved agreement with Kotikov and Lipatov's results
Enhanced understanding of high-energy scattering in N=4 SYM
Abstract
The high energy limit of scattering amplitudes in the N=4 supersymmetric Yang-Mills theory is studied by solving the corresponding BFKL equation in the next-to-leading approximation. The gluon Green's function is analysed using a newly proposed method suitable for investigating the contribution from higher conformal spins. From this new approach complete agreement is obtained with the results of Kotikov and Lipatov on conformal spins and angular dependence.
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