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

@inproceedings{Kol2018AlgebraicAO,
  title={Algebraic aspects of when and how a Feynman diagram reduces to simpler ones},
  author={Barak Kol},
  year={2018}
}
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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