Two-Loop Diagrams in Causal Perturbation Theory
Copyright policy )Two-Loop Diagrams in Causal Perturbation Theory
The scalar two-loop master diagram is revisited in the massive cases needed for the computation of boson and fermion propagators in QED and QCD. By means of the causal method it is possible in a straightforward manner to express the propagators as double integrals. In the case of vacuum polarization both integrations can be carried out in terms of polylogarithms, whereas the last integral in the fermion propagator cannot be expressed by known special functions. The advantage of the method in comparison with Feynman integral calculations is indicated.
16 pages, latex, the figures can be ordered at the first authors address (A.Aste), the necessary macros are included in the latex-file
- Institute for Theoretical Physics Switzerland
- University of Zurich Switzerland
High Energy Physics - Theory, electron propagator, FOS: Physical sciences, Strong interaction, including quantum chromodynamics, Perturbative methods of renormalization applied to problems in quantum field theory, Applications of functional analysis in quantum physics, High Energy Physics - Theory (hep-th), two-loop diagrams, vacuum polarization, causal perturbation theory, Electromagnetic interaction; quantum electrodynamics, Feynman diagrams, computing algorithm
High Energy Physics - Theory, electron propagator, FOS: Physical sciences, Strong interaction, including quantum chromodynamics, Perturbative methods of renormalization applied to problems in quantum field theory, Applications of functional analysis in quantum physics, High Energy Physics - Theory (hep-th), two-loop diagrams, vacuum polarization, causal perturbation theory, Electromagnetic interaction; quantum electrodynamics, Feynman diagrams, computing algorithm
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