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

• Type: Article in International Scientific Journal
• Date: 2008

Authors

Lorenzo Cornalba (Author) Other; Miguel S Costa (Author) FCUP; Joao Penedones (Author) FCUP

Journal

Title: Journal of High Energy Physics

Vol. 2008

Pages: 048-048

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 78 Citations

Scopus - 77 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-Z0V

DOI: 10.1088/1126-6708/2008/06/048

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific