Skip to Main content Skip to Navigation
Journal articles

Reggeon exchange from gauge/gravity duality

Abstract : We perform the analysis of quark-antiquark Reggeon exchange in meson-meson scattering, in the framework of the gauge/gravity correspondence in a confining background. On the gauge theory side, Reggeon exchange is described as quark-antiquark exchange in the t channel between fast projectiles. The corresponding amplitude is represented in terms of Wilson loops running along the trajectories of the constituent quarks and antiquarks. The paths of the exchanged fermions are integrated over, while the "spectator" fermions are dealt with in an eikonal approximation. On the gravity side, we follow a previously proposed approach, and we evaluate the Wilson-loop expectation value by making use of gauge/gravity duality for a generic confining gauge theory. The amplitude is obtained in a saddle-point approximation through the determination near the confining horizon of a Euclidean "minimal surface with floating boundaries", i.e., by fixing the trajectories of the exchanged quark and antiquark by means of a minimisation procedure, which involves both area and length terms. After discussing, as a warm-up exercise, a simpler problem on a plane involving a soap film with floating boundaries, we solve the variational problem relevant to Reggeon exchange, in which the basic geometry is that of a helicoid. A compact expression for the Reggeon-exchange amplitude, including the effects of a small fermion mass, is then obtained through analytic continuation from Euclidean to Minkowski space-time. We find in particular a linear Regge trajectory, corresponding to a Regge-pole singularity supplemented by a logarithmic cut induced by the non-zero quark mass. The analytic continuation leads also to companion contributions, corresponding to the convolution of the same Reggeon-exchange amplitude with multiple elastic rescattering interactions between the colliding mesons.
Document type :
Journal articles
Complete list of metadata

Cited literature [77 references]  Display  Hide  Download
Contributor : Bruno Savelli Connect in order to contact the contributor
Submitted on : Tuesday, July 7, 2020 - 12:30:26 PM
Last modification on : Wednesday, April 14, 2021 - 12:12:06 PM
Long-term archiving on: : Friday, November 27, 2020 - 1:18:09 PM


Files produced by the author(s)


Distributed under a Creative Commons Attribution 4.0 International License




Matteo Giordano, Robi Peschanski. Reggeon exchange from gauge/gravity duality. Journal of High Energy Physics, Springer, 2011, 2011, pp.108. ⟨10.1007/JHEP10(2011)108⟩. ⟨cea-02892097⟩



Record views


Files downloads