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

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dc.creatorShoshi, A. I.
dc.creatorSteffen, F. D.
dc.creatorDosch, H. G.
dc.creatorPirner, H. J.
dc.date2002-11-18
dc.date2003-10-13
dc.date.accessioned2026-07-07T10:48:38Z
dc.date.available2026-07-07T10:48:38Z
dc.descriptionWe 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.
dc.description65 pages, 13 figures, extended and revised version to be published in Phys. Rev. D (results unchanged, 2 new figures, 1 new table, additional discussions in Sec.2.3 and Sec.5, new appendix on the non-Abelian Stokes theorem, old Appendix A -> Sec.3, several references added)
dc.identifierhttps://arxiv.org/abs/hep-ph/0211287
dc.identifierhttp://arxiv.org/abs/hep-ph/0211287
dc.identifierPhys.Rev.D68:074004,2003
dc.identifierdoi:10.1103/PhysRevD.68.074004
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/183948
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Theory
dc.titleConfining QCD Strings, Casimir Scaling, and a Euclidean Approach to High-Energy Scattering
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