2023/06/09 by Marco S. Bianchi, Bianchi, Marco S. · 1 citation
Economics, Econometrics and Finance · Mathematics · #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #High Energy Physics - Theory (hep-th) #Spectral Theory in Mathematical Physics #Stochastic processes and financial applications
paper · pdf · doi:10.48550/arxiv.2306.06239
openalex publication_date 2023/06/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that the two-point function of protected bi-scalar operators in \cal N=4 SYM evaluated in dimensional regularization exhibits a uniform degree of transcendentality up to three-loop order. We conjecture that this property holds for the whole perturbative series and leverage the explicit results to postulate a prediction for the leading, order ε, correction to all loop orders. We also consider the soft limit of three-point functions of such operators in momentum space and point out a simple and surprising perturbative relation to two-point functions, which we also extrapolate to all loop orders.