Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-11-10
Nucl.Phys.B767:327-351,2007
Physics
High Energy Physics
High Energy Physics - Theory
JHEP3.cls, 27 pages, 8 figures
Scientific paper
10.1016/j.nuclphysb.2007.01.007
We introduce the impact-parameter representation for conformal field theory correlators of the form A ~ < O_1 O_2 O_1 O_2 >. This representation is appropriate in the eikonal kinematical regime, and approximates the conformal partial-wave decomposition in the limit of large spin and dimension of the exchanged primary. Using recent results on the two-point function < O_1 O_1 >_{shock} in the presence of a shock wave in Anti-de Sitter, and its relation to the discontinuity of the four-point amplitude A across a kinematical branch-cut, we find the high spin and dimension conformal partial- wave decomposition of all tree-level Anti-de Sitter Witten diagrams. We show that, as in flat space, the eikonal kinematical regime is dominated by the T-channel exchange of the massless particle with highest spin (graviton dominance). We also compute the anomalous dimensions of the high-spin O_1 O_2 composites. Finally, we conjecture a formula re-summing crossed-ladder Witten diagrams to all orders in the gravitational coupling.
Cornalba Lorenzo
Costa Silvana M.
Penedones Joao
Schiappa Ricardo
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