The QCD quark propagator in Coulomb gauge and some implications for hadronic physics [Elektronische Ressource] / vorgelegt von Markus Kloker

The QCD Quark Propagator in Coulomb Gauge andsome Implications for Hadronic PhysicsDissertationzur Erlangung des Grades eines Doktorsder Naturwissenschaftender Fakult¨at fu¨r Mathematik und Physikder Eberhard-Karls-Universit¨at zu Tu¨bingenvorgelegt vonMarkus Klokeraus Blaubeuren2007Tag der mu¨ndlichen Pru¨fung: 22.06.2007Dekan: Prof. Dr. Nils Schopohl1. Berichterstatter: Prof. Dr. Herbert Mu¨ther / Prof. Dr. Reinhard Alkofer2. Berichterstatter: Prof. Dr. Kurt LangfeldAbstractWe present approximate non-perturbative solutions for the quark propagator in Cou-lomb gauge of Quantum Chromo Dynamics and explore implications of these findings forhadronic physics, namely meson and diquark properties and nucleon form factors. For thelatter case we use a Poincar´e-covariant diquark-quark model.In the limit of a vanishing infrared regulator we solve a system of renormalised, trun-cated Dyson-Schwinger equations for the quark propagator in two different truncations inthe chiral limit, where we have to sidestep into Euclidean space-time only for the moreinvolved one. Contrary to previous approaches we employ a MOM scheme for renormali-sationandinclude alsotransverse gluonsandretardation. We use agluonpropagatorthatis in accordance with recent lattice calculations and with computations in a Hamiltonianapproach. For the quark-gluon vertex we adopt the rainbow truncation.