Renormalization theory of Feynman amplitudes on configuration spaces

Details Renormalization theory of Feynman amplitudes on configuration spaces Renormalization theory of Feynman amplitudes on configuration spaces

2009-07-22

arxiv.org/abs/0907.3734v1

Physics

High Energy Physics

High Energy Physics - Theory

20 pages

Scientific paper

In a previous paper "Anomalies in Quantum Field Theory and Cohomologies of Configuration Spaces" (arXiv:0903.0187) we presented a new method for renormalization in Euclidean configuration spaces based on certain renormalization maps. This approach is aimed to serve for developing an algebraic algorithm for computing the Gell--Mann--Low renormalization group action. In the present work we introduce a modification of the theory of renormalization maps for the case of Minkowski space and we give the way how it is combined with the causal perturbation theory.

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