2008/09/08 by W. Schleifenbaum, Schleifenbaum, W.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #High Energy Physics - Theory (hep-th) #Matrix Theory and Algorithms #Quantum Chromodynamics and Particle Interactions #Quantum and Classical Electrodynamics #hep-lat #hep-ph #hep-th
paper · pdf · doi:10.48550/arxiv.0809.1339
PhD thesis, advisor: H. Reinhardt, Univ. of Tuebingen, 165 pages
arxiv created 2008/09/08 · openalex publication_date 2008/09/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this thesis, several aspects of Yang-Mills theory are studied. It begins with the constrained quantization in the Coulomb gauge, using the Dirac bracket formalism. A nonperturbative analysis of the infrared asymptotics of propagators in any spatial dimension follows, and a connection to the Landau gauge is given. In the Coulomb gauge Hamiltonian approach, a linearly rising static color Coulomb potential is found, along with an infrared diverging gluon energy, both signaling confinement. The propagators and vertices in the entire momentum regime are calculated with the variational principle. In the ultraviolet, a nonperturbative running coupling constant is studied, and certain asymptotic forms of the propagators are postulated. Furthermore, the back reaction of the gauge sector to the inclusion of external charges is investigated.