From Static Potentials to High-Energy Scattering

dc.creatorSteffen, Frank Daniel
dc.date2003-01-13
dc.date.accessioned2026-07-07T03:49:01Z
dc.date.available2026-07-07T03:49:01Z
dc.descriptionWe develop a loop-loop correlation model for a unified description of static color dipole potentials, confining QCD strings, and hadronic high-energy reactions with special emphasis on saturation effects manifesting S-matrix unitarity at ultra-high energies. The model combines perturbative gluon exchange with the non-perturbative stochastic vacuum model which describes color confinement via flux-tube formation of color fields. We compute the chromo-field distributions of static color dipoles in various SU(N_c) representations and find Casimir scaling in agreement with recent lattice QCD results. We investigate 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 dipole-dipole scattering and obtain a Euclidean approach to high-energy scattering that allows us in principle to calculate S-matrix elements in lattice QCD. In this approach we compute high-energy dipole-dipole scattering with the Euclidean loop-loop correlation model. Together with a universal energy dependence and reaction-specific wave functions, the result forms the basis for a unified description of proton-proton, pion-proton, kaon-proton, photon-proton, and photon-photon reactions in good agreement with experimental data for cross sections, slope parameters, and structure functions. The obtained impact parameter profiles for proton-proton and longitudinal photon-proton reactions and the impact parameter dependent gluon distribution of the proton xG(x,Q^2,b) show saturation at ultra-high energies in accordance with unitarity constraints.
dc.description116 pages, 27 figures, doctoral thesis (Dissertation), University of Heidelberg
dc.identifierhttps://arxiv.org/abs/hep-ph/0301084
dc.identifierhttp://arxiv.org/abs/hep-ph/0301084
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/42245
dc.subjectHigh Energy Physics - Phenomenology
dc.subjectHigh Energy Physics - Experiment
dc.subjectHigh Energy Physics - Lattice
dc.titleFrom Static Potentials to High-Energy Scattering
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