Perturbative Mellin amplitudes of $\mathcal{N}=4$ SYM
High Energy Physics - Theory
2024-01-01 v1
Abstract
We compute the Mellin amplitude of the planar four-point correlator of weight-two half-BPS operators in SYM at one and two-loop orders in the small 't Hooft coupling expansion. The two-loop Mellin amplitude has an infinite number of poles, as expected from a stringy bulk dual. We then perform a Mellin conformal block expansion of the amplitude and extract the one-loop anomalous dimensions and OPE coefficients of the exchanged twist-two singlet multiplets. Our results match those of Dolan and Osborn \cite{Dolan:2004iy} but the computation is rather straightforward in Mellin space.
Cite
@article{arxiv.2312.17692,
title = {Perturbative Mellin amplitudes of $\mathcal{N}=4$ SYM},
author = {Faizan Bhat and Pronobesh Maity},
journal= {arXiv preprint arXiv:2312.17692},
year = {2024}
}