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  4. Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling
 
research article

Eikonal methods in AdS/CFT: BFKL Pomeron at weak coupling

Cornalba, Lorenzo
•
Costa, Miguel S.
•
Penedones, João Miguel  
2008
Journal of High Energy Physics

We consider correlators of N = 4 super Yang Mills of the form A similar to <(O1O2O1O2 star)-O-star >, where the operators O-1 and O-2 are scalar primaries. In particular, we analyze this correlator in the planar limit and in a Lorentzian regime corresponding to high energy interactions in AdS. The planar amplitude is dominated by a Regge pole whose nature varies as a function of the 't Hooft coupling g(2). At large g, the pole corresponds to graviton exchange in AdS, whereas at weak g, the pole is that of the hard perturbative BFKL Pomeron. We concentrate on the weak coupling regime and analyze Pomeron exchange directly in position space. The analysis relies heavily on the conformal symmetry of the transverse space E 2 and of its holographic dual hyperbolic space H 3, describing with an unified language, both the weak and strong 't Hooft coupling regimes. In particular, the form of the impact factors is highly constrained in position space by conformal invariance. Finally, the analysis suggests a possible AdS eikonal resummation of multi-Pomeron exchanges implementing AdS unitarity, which differs from the usual 4-dimensional eikonal exponentiation. Relations to violations of 4-dimensional unitarity at high energy and to the onset of nonlinear effects and gluon saturation become immediate questions for future research.

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Type
research article
DOI
10.1088/1126-6708/2008/06/048
Author(s)
Cornalba, Lorenzo
Costa, Miguel S.
Penedones, João Miguel  
Date Issued

2008

Publisher

Int School Advanced Studies

Published in
Journal of High Energy Physics
Issue

6

Start page

048

Subjects

deep inelastic scattering

•

AdS-CFT correspondence

•

1/N expansion

•

QCD

Editorial or Peer reviewed

REVIEWED

Written at

OTHER

EPFL units
FSL  
Available on Infoscience
March 31, 2016
Use this identifier to reference this record
https://infoscience.epfl.ch/handle/20.500.14299/125210
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