Algebraic aspects of when and how a Feynman diagram reduces to simpler ones

Barak Kol

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arXiv · 1804.01175

Algebraic aspects of when and how a Feynman diagram reduces to simpler ones

Barak Kol

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Abstract

The method of Symmetries of Feynman Integrals defines for any Feynman diagram a set of partial differential equations. On some locus in parameter space the equations imply that the diagram can be reduced to a linear combination of simpler diagrams. This paper provides a systematic method to determine this locus and the associated reduction through an algebraic method involving factorization of maximal minors.

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Barak Kol. 2018-04-03. Algebraic aspects of when and how a Feynman diagram reduces to simpler ones. https://arxiv.org/abs/1804.01175

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