Two-Loop Diagrams in Causal Perturbation Theory

Details Two-Loop Diagrams in Causal Perturbation Theory Two-Loop Diagrams in Causal Perturbation Theory

1996-08-29

arxiv.org/abs/hep-th/9608193v1

Annals Phys. 257 (1997) 158-204

Physics

High Energy Physics

High Energy Physics - Theory

16 pages, latex, the figures can be ordered at the first authors address (A.Aste), the necessary macros are included in the la

Scientific paper

10.1006/aphy.1997.5686

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.

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