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AbstractAbstract
[en] We study integrations over light-cone momenta in the high energy effective action of QCD. After a brief review of the effective action, we arrive on a regularization mechanism from matching of effective action diagrams with QCD diagrams, which we apply to a re-derivation of the reggeized gluon and of the BFKL-equation. We study consequences of the proposed regularization on the analytic structure of 2→3 and 2→4 production amplitudes in the Multi-Regge-Kinematics. We derive a certain part of the 1-loop corrections to the production vertex and demonstrate that they yield the on-set of corrections demanded by the Steinmann-relations. The Reggeon-Particle-2-Reggeon vertex is determined and applied to the construction of various signature configurations of the production amplitudes. We extend the proposed regularization method to states of three and four reggeized gluons and propose a supplement to the effective Lagrangian. We derive vertices for the 1-3 and 2-4 reggeized-gluon-transition inside the elastic amplitude and verify that signature conservation is obeyed. Integral equations for the state of three and four reggeized gluons are formulated and shown to be in accordance with a result by Bartels and Wuesthoff. In a second part we investigate the high-energy behavior of QCD for different surface topologies of color graphs. After a brief review of the planar limit (bootstrap and gluon reggeization) and of the cylinder topology (BFKL) we investigate the 3→3 scattering in the triple Regge limit which belongs to the pair-of-pants topology. We re-derive the triple Pomeron vertex function and show that it belongs to a specific set of graphs in color space which we identify as the analog of the Mandelstam diagram. We then extend the study to the high-energy behavior of N=4 SYM where we find a new class of color graphs not present in QCD. (orig.)
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Source
Jul 2009; 151 p; ISSN 1435-8085;
; Diss.

Record Type
Report
Literature Type
Thesis/Dissertation
Report Number
Country of publication
CORRECTIONS, ELASTIC SCATTERING, FEYNMAN DIAGRAM, GLUONS, INTEGRAL CALCULUS, INTEGRAL EQUATIONS, LAGRANGIAN FIELD THEORY, LIGHT CONE, PAIR PRODUCTION, POMERANCHUK PARTICLES, QUANTUM CHROMODYNAMICS, REGGE POLES, SCATTERING AMPLITUDES, SUPERSYMMETRY, UNIFIED GAUGE MODELS, VERTEX FUNCTIONS, YANG-MILLS THEORY
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