Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering

Details Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering Confining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering

2002-11-18

arxiv.org/abs/hep-ph/0211287v2

Phys.Rev.D68:074004,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

65 pages, 13 figures, extended and revised version to be published in Phys. Rev. D (results unchanged, 2 new figures, 1 new ta

Scientific paper

10.1103/PhysRevD.68.074004

We compute the chromo-field distributions of static color-dipoles in the fundamental and adjoint representation of SU(Nc) in the loop-loop correlation model and find Casimir scaling in agreement with recent lattice results. Our model combines perturbative gluon exchange with the non-perturbative stochastic vacuum model which leads to confinement of the color-charges in the dipole via a string of color-fields. We compute the energy stored in the confining string and use low-energy theorems to show consistency with the static quark-antiquark potential. We generalize Meggiolaro's analytic continuation from parton-parton to gauge-invariant dipole-dipole scattering and obtain a Euclidean approach to high-energy scattering that allows us in principle to calculate S-matrix elements directly in lattice simulations of QCD. We apply this approach and compute the S-matrix element for high-energy dipole-dipole scattering with the presented Euclidean loop-loop correlation model. The result confirms the analytic continuation of the gluon field strength correlator used in all earlier applications of the stochastic vacuum model to high-energy scattering.

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