Automating Renormalization of Quantum Field Theories

Details Automating Renormalization of Quantum Field Theories Automating Renormalization of Quantum Field Theories

2007-12-06

arxiv.org/abs/0712.1016v1

Proceedings of the 2007 international workshop on Symbolic-numeric computation, London, Ontario, Canada, 18-27 (2007). ISBN:97

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited talk given by A.D. Kennedy at the International Workshop on Symbolic-Numeric Computation'07, University of Western Ont

Scientific paper

We give an overview of state-of-the-art multi-loop Feynman diagram computations, and explain how we use symbolic manipulation to generate renormalized integrals that are then evaluated numerically. We explain how we automate BPHZ renormalization using "henges" and "sectors", and give a brief description of the symbolic tensor and Dirac gamma-matrix manipulation that is required. We shall compare the use of general computer algebra systems such as Maple with domain-specific languages such as FORM, highlighting in particular memory management issues.

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