2007/11/01 by А. Миронов, A. Mironov, А. Морозов +3 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions #hep-th
paper · pdf · doi:10.1016/j.physletb.2007.11.025
published as Phys.Lett.B659:723-731,2008 · 10 pages
arxiv created 2007/11/01 · openalex publication_date 2007/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/31
The Alday–Maldacena solution, relevant to the n = 4 gluon amplitude in N = 4 SYM at strong coupling, was recently identified as a minimum of the regularized action in the moduli space of solutions of the AdS 5 σ -model equations of motion. Analogous solutions of the Nambu–Goto equations for the n = 4 case are presented and shown to form (modulo the reparametrization group) an equally large but different moduli space, with the Alday–Maldacena solution at the intersection of the σ -model and Nambu–Goto moduli spaces. We comment upon the possible form of the regularized action for n = 5 . A function of moduli parameters z a is written, whose minimum reproduces the BDDK one-loop five-gluon amplitude. This function may thus be considered as some kind of Legendre transform of the BDDK formula and has its own value independently of the Alday–Maldacena approach.