Reggeon exchange from AdS/CFT

Details Reggeon exchange from AdS/CFT Reggeon exchange from AdS/CFT

2001-10-02

arxiv.org/abs/hep-th/0110024v1

Nucl.Phys.B625:279-294,2002

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, 1 eps figure

Scientific paper

10.1016/S0550-3213(02)00004-4

Using the AdS/CFT correspondence in a confining backgroundand the worldline formalism of gauge field theories,we compute scattering amplitudes with an exchange of quark andantiquark in the $t$-channel corresponding to Reggeon exchange. Itrequires going beyond the eikonal approximation, which was used when studying Pomeron exchange. The wordline path integral is evaluated through the determination of minimal surfaces and their boundaries by the saddle-point method at large gauge coupling g^2N_c. We find a Regge behaviour with linear Regge trajectories. The slope is related to the $q\bar q$ static potential and is four times the Pomeronslope obtained in the same framework. A contribution to the intercept, related to the L\"uscher term, comes from the fluctuations around the minimal surface.

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