{"id":{"repo_id":"heid-diss","oai_identifier":"oai:archiv.ub.uni-heidelberg.de:3274"},"canonical_url":"https://search.dev.ndltd.org/etd/heid-diss/oai:archiv.ub.uni-heidelberg.de:3274","repository":{"repo_id":"heid-diss","name":"Universität Heidelberg","base_url":"http://archiv.ub.uni-heidelberg.de/volltextserver/cgi/oai2"},"display":{"title":"From Static Potentials to High-Energy Scattering","abstract":"We 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.","abstract_html":"We 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.","abstract_has_math":false,"creators":["Steffen, Frank Daniel"],"institution":"Universität Heidelberg","degree_name":null,"degree_level":"thesis.doctoral","degree_discipline":null,"degree_department":null,"school":null,"contributors":["Dosch, Hans Günter"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2003,"date_issued":"2003-02-14","date_published":"2003-02-14","updated_at":"2026-07-24T02:29:25Z","subjects":[],"languages":[],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"http://www.ub.uni-heidelberg.de/archiv/3274","outbound_label":"Repository record","outbound_source":"source_url"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["Dosch, Hans Günter"]},{"key":"dc:creator","label":"Author","values":["Steffen, Frank Daniel"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:publisher","label":"Institution","values":["Universitätsbibliothek Heidelberg"]},{"key":"dc:type","label":"Dc Type","values":["doctoralThesis"]},{"key":"thesis:degree_level","label":"Degree Level","values":["thesis.doctoral"]},{"key":"thesis:institution_name","label":"Thesis Institution Name","values":["Universität Heidelberg"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["We 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.","Wir entwickeln ein Loop-Loop Korrelations Modell zur einheitlichen Beschreibung von statischen Farbdipol Potenzialen, einschliessenden QCD Strings, und hadronischen Hochenergiereaktionen mit besonderer Berücksichtigung von Sättigungseffekten, die die S-Matrix Unitarität bei extrem hohen Energien manifestieren. Das Modell verbindet störungstheoretischen Gluonaustausch mit dem nicht-störungstheoretischen Modell des Stochastischen Vakuums, das den Einschluss von Farbladungen durch Flussschlauchbildung der Farbfelder beschreibt. Wir berechnen Farbfeldverteilungen statischer Farbdipole in verschiedenen SU(N_c) Darstellungen und finden Casimir Skalierungsverhalten in Übereinstimmung mit aktuellen Gitter-QCD Ergebnissen. Wir untersuchen die im einschliessenden String gespeicherte Energie und zeigen mit Niederenergietheoremen die Konsistenz mit dem statischen Quark-Antiquark Potenzial. Wir verallgemeinern Meggiolaros Analytische Fortsetzung von Parton-Parton auf Dipol-Dipol Streuung und erhalten einen Euklidischen Zugang zur Hochenergiestreuung, der prinzipiell erlaubt, Streumatrixelemente in Gitter-QCD zu berechnen. Mit dem Euklidischen Loop-Loop Korrelations Modell berechnen wir in diesem Zugang Dipol-Dipol Streuung bei hohen Energien. Das Ergebnis bildet zusammen mit einer universellen Energieabhängigkeit und reaktionsspezifischen Wellenfunktionen die Grundlage für eine einheitliche Beschreibung von Proton-Proton, Pion-Proton, Kaon-Proton, Photon-Proton und Photon-Photon Reaktionen in guter Übereinstimmung mit experimentellen Daten für Wirkungsquerschnitte, Steigungsparameter und Strukturfunktionen. Die erhaltenen Stossparameterprofile für Proton-Proton und Photon-Proton Reaktionen und die stossparameterabhängige Gluonverteilung des Protons xG(x,Q^2,b) zeigen Sättigung bei extrem hohen Energien in Übereinstimmung mit Unitaritätsgrenzen."]},{"key":"dc:format.medium","label":"Dc Format Medium","values":["application/pdf"]},{"key":"dc:title","label":"Title","values":["From Static Potentials to High-Energy Scattering","Von statischen Potenzialen zur Hochenergiestreuung"]}]}],"canonical_facts":{"dc:contributor":["Dosch, Hans Günter"],"dc:creator":["Steffen, Frank Daniel"],"dc:description.abstract":["We 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.","Wir entwickeln ein Loop-Loop Korrelations Modell zur einheitlichen Beschreibung von statischen Farbdipol Potenzialen, einschliessenden QCD Strings, und hadronischen Hochenergiereaktionen mit besonderer Berücksichtigung von Sättigungseffekten, die die S-Matrix Unitarität bei extrem hohen Energien manifestieren. Das Modell verbindet störungstheoretischen Gluonaustausch mit dem nicht-störungstheoretischen Modell des Stochastischen Vakuums, das den Einschluss von Farbladungen durch Flussschlauchbildung der Farbfelder beschreibt. Wir berechnen Farbfeldverteilungen statischer Farbdipole in verschiedenen SU(N_c) Darstellungen und finden Casimir Skalierungsverhalten in Übereinstimmung mit aktuellen Gitter-QCD Ergebnissen. Wir untersuchen die im einschliessenden String gespeicherte Energie und zeigen mit Niederenergietheoremen die Konsistenz mit dem statischen Quark-Antiquark Potenzial. Wir verallgemeinern Meggiolaros Analytische Fortsetzung von Parton-Parton auf Dipol-Dipol Streuung und erhalten einen Euklidischen Zugang zur Hochenergiestreuung, der prinzipiell erlaubt, Streumatrixelemente in Gitter-QCD zu berechnen. Mit dem Euklidischen Loop-Loop Korrelations Modell berechnen wir in diesem Zugang Dipol-Dipol Streuung bei hohen Energien. Das Ergebnis bildet zusammen mit einer universellen Energieabhängigkeit und reaktionsspezifischen Wellenfunktionen die Grundlage für eine einheitliche Beschreibung von Proton-Proton, Pion-Proton, Kaon-Proton, Photon-Proton und Photon-Photon Reaktionen in guter Übereinstimmung mit experimentellen Daten für Wirkungsquerschnitte, Steigungsparameter und Strukturfunktionen. Die erhaltenen Stossparameterprofile für Proton-Proton und Photon-Proton Reaktionen und die stossparameterabhängige Gluonverteilung des Protons xG(x,Q^2,b) zeigen Sättigung bei extrem hohen Energien in Übereinstimmung mit Unitaritätsgrenzen."],"dc:format.medium":["application/pdf"],"dc:publisher":["Universitätsbibliothek Heidelberg"],"dc:title":["From Static Potentials to High-Energy Scattering","Von statischen Potenzialen zur Hochenergiestreuung"],"dc:type":["doctoralThesis"],"thesis:degree_level":["thesis.doctoral"],"thesis:institution_name":["Universität Heidelberg"]},"updated_at":"2026-07-24T02:29:25Z"}