Systematic renormalization at all orders in the DiffRen and improved Epstein-Glaser schemes
Jos\'e M. Gracia-Bond\'ia
TL;DR
This paper updates the combinatorial approach to handling subdivergences in Feynman diagrams using differential renormalization and Epstein-Glaser schemes, providing a systematic method applicable at all orders.
Contribution
It introduces a unified, systematic renormalization method at all orders combining differential and Epstein-Glaser approaches, with improved combinatorial treatment.
Findings
Enhanced understanding of subdivergence treatment in Feynman diagrams
Unified framework for differential and Epstein-Glaser renormalization
Applicable to complex quantum field theory calculations
Abstract
Proceeding by way of examples, we update the combinatorics of the treatment of Feynman diagrams with subdivergences in differential renormalization from more recent viewpoints in Epstein--Glaser renormalization in -space.
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Taxonomy
TopicsAdvanced Topics in Algebra · advanced mathematical theories · Stochastic processes and financial applications