English

Renormalization theory of Feynman amplitudes on configuration spaces

High Energy Physics - Theory 2009-07-23 v1 Mathematical Physics math.MP

Abstract

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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Cite

@article{arxiv.0907.3734,
  title  = {Renormalization theory of Feynman amplitudes on configuration spaces},
  author = {Nikolay M. Nikolov},
  journal= {arXiv preprint arXiv:0907.3734},
  year   = {2009}
}

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20 pages