On knots in subdivergent diagrams

Abstract

We investigate Feynman diagrams which are calculable in terms of generalized one-loop functions, and explore how the presence or absence of transcendentals in their counterterms reflects the entanglement of link diagram constructed from them and explains unexpected relations between them.

15 pages, latex, uses epsf for 10 figs. To appear in Z.Phys.C, results now discussed from the point of view of Gauss codes

References in corpus (3)

• Scheme dependence and the NSVZ $\beta$-function
• On the enumeration of irreducible k-fold Euler sums and their roles in knot theory and field theory
• Conjectured Enumeration of irreducible Multiple Zeta Values, from Knots and Feynman Diagrams

Cited by in corpus (1)

• On the Hopf algebra structure of perturbative quantum field theories