Wilson-loop formalism for Reggeon exchange in soft high-energy scattering

Details Wilson-loop formalism for Reggeon exchange in soft high-energy scattering Wilson-loop formalism for Reggeon exchange in soft high-energy scattering

2012-04-17

arxiv.org/abs/1204.3772v1

Physics

High Energy Physics

High Energy Physics - Phenomenology

55 pages, 7 figures

Scientific paper

We derive a nonperturbative expression for the non-vacuum, qqbar-Reggeon-exchange contribution to the meson-meson elastic scattering amplitude at high energy and low momentum transfer, in the framework of QCD. Describing the mesons in terms of colourless qqbar dipoles, the problem is reduced to the two-fermion-exchange contribution to the dipole-dipole scattering amplitudes, which is expressed as a path integral, over the trajectories of the exchanged fermions, of the expectation value of a certain Wilson loop. We also show how the resulting expression can be reconstructed from a corresponding quantity in the Euclidean theory, by means of analytic continuation. Finally, we make contact with previous work on Reggeon exchange in the gauge/gravity duality approach.

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