6533b853fe1ef96bd12ad7a5
RESEARCH PRODUCT
Feynman graph polynomials
Stefan WeinzierlChristian Bognersubject
PhysicsFeynman parametrizationNuclear and High Energy PhysicsSpanning treeFOS: Physical sciencesAstronomy and AstrophysicsGraph theoryMathematical Physics (math-ph)Symbolic computationMatroidLoop integralAtomic and Molecular Physics and OpticsCombinatoricsHigh Energy Physics - PhenomenologySingularityHigh Energy Physics - Phenomenology (hep-ph)Contraction (operator theory)Mathematical Physicsdescription
The integrand of any multi-loop integral is characterised after Feynman parametrisation by two polynomials. In this review we summarise the properties of these polynomials. Topics covered in this article include among others: Spanning trees and spanning forests, the all-minors matrix-tree theorem, recursion relations due to contraction and deletion of edges, Dodgson's identity and matroids.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2010-02-18 |