Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-09-09
Nucl.Phys.B822:301-347, 2009
Physics
High Energy Physics
High Energy Physics - Theory
Published version of the paper, which includes an expanded discussion on Steinmann Relation for 5-point function, (sect. 4.3 a
Scientific paper
10.1016/j.nuclphysb.2009.07.026
As a consequence of the AdS/CFT correspondence, planar ${\cal N} =4$ 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 ${\cal N}=4$ super Yang-Mills theory, as represented by the Bern, Dixon and Smirnov \cite{Bern:2005iz} (BDS) conjecture for n-gluon scattering, believed to be exact for $n=4,5$ and modified only by a function of cross-ratios for $n\geq 6$. 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 $O(\epsilon)$.
Brower Richard C.
Nastase Horatiu
Schnitzer Howard J.
Tan Chung-I
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