Analyticity for Multi-Regge Limits of the Bern-Dixon-Smirnov Amplitudes
Sep, 2008
61 pages
Published in:
- Nucl.Phys.B 822 (2009) 301-347
e-Print:
- 0809.1632 [hep-th]
Report number:
- BRX-TH-600,
- BROWN-HET-1565,
- TIT-HEP-586
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Citations per year
Abstract: (Elsevier)
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 ) .Note:
- 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
- string: open
- field theory: conformal
- multi-Regge
- analytic properties
- string model
- factorization
- gauge field theory: SU(N)
- scattering amplitude: multigluon
- supersymmetry: 4
- AdS/CFT correspondence
References(80)
Figures(2)