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2007

Eikonal Methods in AdS/CFT: Regge Theory and Multi-Reggeon Exchange

Cornalba, Lorenzo

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We analyze conformal field theory 4-point functions of the form A ~ O_1(x_1) O_2(x_2) O_1(x_3) O_2(x_4), where the operators O_i are scalar primaries.

We show that, in the Lorentzian regime, the limit x_1 -> x_3 is dominated by the exchange of conformal partial waves of highest spin.
When partial waves of arbitrary spin contribute to A, the behavior of the Lorentzian amplitude for x_1 -> x_3 must be analyzed using complex-spin techniques, leading to a generalized Regge theory for CFT's.
Whenever the CFT is dual to a string theory, the string tree-level contribution A_tree to the amplitude A presents a Regge pole corresponding the a gravi-reggeon exchange.

Eikonal Methods in AdS/CFT: Regge Theory and Multi-Reggeon Exchange · Around

Built on

V. S. Fadin, E. A. Kuraev and L. N. Lipatov, On The Pomeranchuk Singularity In Asymptotically Free Theories,
1986
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D. Amati, M. Ciafaloni and G. Veneziano, Superstring Collisions at Planckian Energies, Phys. Lett. B 197
1987
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O. Aharony, S. S. Gubser, J. M. Maldacena, H. Ooguri and Y. Oz, Large N Field Theories, String Theory and Gravity
2000
Earlier work this paper cites.
R. J. Eden, P. V. Landshoff, D. I. Olive and J. C. Polkinghorne, The Analytic S–Matrix
2002
Earlier work this paper cites.

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L. Cornalba, M. S. Costa, J. Penedones and R. Schiappa, Eikonal Approximation in AdS/CFT: Conformal Partial–Waves and Finite N Four–Point Functions
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