Reggeon exchange from AdS/CFT

Abstract

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 Lüscher term, comes from the fluctuations around the minimal surface.

11 pages, 1 eps figure

References in corpus (3)

• Hard Scattering and Gauge/String Duality
• Perturbative Quantum Field Theory in the String-Inspired Formalism
• Instanton-induced Inelastic Collisions in QCD

Cited by in corpus (28)

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• Regge Trajectories Revisited in the Gauge/String Correspondence
• On the Couplings of Vector Mesons in AdS/QCD
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• Four point function of R-currents in N=4 SYM in the Regge limit at weak coupling
• Effective String Theory and QCD Scattering Amplitudes
• Gauge Theories as String Theories: the First Results
• An interplay between static potential and Reggeon trajectory for QCD string
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• Scattering Amplitudes of QCD String
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• Eikonal Approach to N=4 SYM Regge Amplitudes in the AdS/CFT Correspondence
• The Lund Model at Nonzero Impact Parameter
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• Worldline Casting of the Stochastic Vacuum Model and Non-Perturbative Properties of QCD: General Formalism and Applications