2006/02/03 by Michel De Haan, Michel de Haan, de Haan, Michel
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum Mechanics and Applications #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/0602030
102 pages (55 in appendix), misleading notation corrected
openalex publication_date 2006/02/03 · arxiv created 2006/10/23 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The reformulation of field theory in which self-energy processes are no longer present [Annals of Physics, \bf311 (2004), 314.], [ Progr. Theor. Phys., \bf 109 (2003), 881.], [Trends in Statistical Physics \bf 3 (2000), 115.] provides an adequate tool to transform Swinger-Dyson equations into a kinetic description outside any approximation scheme. Usual approaches in quantum electrodynamics (QED) are unable to cope with the mechanical momentum of the electron and replace it by the canonical momentum. The use of that unphysical momentum is responsible for the divergences that are removed by the renormalization procedure in the S-matrix theory. The connection between distribution functions in terms of the canonical and those in terms of the mechanical momentum is now provided by a dressing operator [Annals of Physics, \bf314 (2004), 10] that allows the elimination of the above divergences, as the first steps are illustrated here.