2008/09/30 by Richard C. Brower, Horatiu Nastase, Horaƫiu Năstase +2
Mathematics · Physics and Astronomy · #Amplitude #Black Holes and Theoretical Physics #Combinatorics #Conjecture #Exponential function #Factorization #Limit (mathematics) #Mathematical analysis #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scattering amplitude #Space (punctuation) #String (physics) #String theory #Variety (cybernetics) #hep-ph #hep-th
paper · pdf · doi:10.1016/j.nuclphysb.2009.07.026
published as Nucl.Phys.B822:301-347,2009 · Published version of the paper, which includes an expanded discussion on Steinmann Relation for 5-point function, (sect. 4.3 and footnotes #9 and #10) as well as additional clarifying comments on how this work compares to other recent related works in the concluding section. 74 pages, 17 figures
openalex publication_date 2009/08/06 · arxiv created 2009/11/08 · arxiv updated 2014/11/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
As a consequence of the AdS/CFT correspondence, planar N=4 super-Yang–Mills SU(N) theory is expected to exhibit stringy behavior and multi-Regge asymptotic. In this paper we extend our recent investigation to consider issues of analyticity, a central feature of Regge asymptotics. We contrast flat-space open string theory in the planar limit with the N=4 super-Yang–Mills theory, as represented by the Bern, Dixon and Smirnov (2005) [1] (BDS) conjecture for n-gluon scattering, believed to be exact for n=4,5 and modified only by a function of cross-ratios for n⩾6. It is emphasized that multi-Regge factorization should be applied to trajectories with definite signature. A variety of analyticity and factorization constraints realized in flat space string theory are not satisfied by the BDS conjecture, at least when the exponential factors are truncate in the infra-red regulator below O(ϵ).