Deep inelastic scattering in conformal QCD

• Type: Article in International Scientific Journal
• Date: 2010

Authors

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

Journal

Title: JHEP: Journal of High Energy Physics

Vol. 2010 No. 3, article no. 133

ISSN: 1029-8479

Publisher: Springer

Indexing

ISI Web of Knowledge - 100 Citations

ISI Web of Science

Scopus - 98 Citations

Scientific classification

FOS: Natural sciences > Physical sciences

Other information

Authenticus ID: P-003-8RS

DOI: 10.1007/jhep03(2010)133

Abstract (EN): We consider the Regge limit of a CFT correlation function of two vector and two scalar operators, as appropriate to study small-x deep inelastic scattering in N = 4 SYM or in QCD assuming approximate conformal symmetry. After clarifying the nature of the Regge limit for a CFT correlator, we use its conformal partial wave expansion to obtain an impact parameter representation encoding the exchange of a spin j Reggeon for any value of the coupling constant. The CFT impact parameter space is the three-dimensional hyperbolic space H-3, which is the impact parameter space for high energy scattering in the dual AdS space. We determine the small-x structure functions associated to the exchange of a Reggeon. We discuss unitarization from the point of view of scattering in AdS and comment on the validity of the eikonal approximation. We then focus on the weak coupling limit of the theory where the amplitude is dominated by the exchange of the BFKL pomeron. Conformal invariance fixes the form of the vector impact factor and its decomposition in transverse spin 0 and spin 2 components. Our formalism reproduces exactly the general results predict by the Regge theory, both for a scalar target and for gamma* - gamma* scattering. We compute current impact factors for the specific examples of N = 4 SYM and QCD, obtaining very simple results. In the case of the R-current of N = 4 SYM, we show that the transverse spin 2 component vanishes. We conjecture that the impact factors of all chiral primary operators of N = 4 SYM only have components with 0 transverse spin.

Language: English

Type (Professor's evaluation): Scientific