Is there a mathematical representation/formalism of/for Feynman Diagrams?

1k Views Asked by At
  • Is there a mathematical formalism to represent or generalize Feynman Diagram?

  • Has anyone tried to use knot theory, Graph theory or other abstract algebra tools to generalize/formalize Feynman's notions?

1

There are 1 best solutions below

0
On

One very versatile setting for studying Feynman diagrams is within the wider framework of "string diagrams" for monoidal categories. John Baez has written a lot on the subject -- you might start by reading his paper with Mike Stay:

as well as his older paper with Aaron Lauda:

These papers also discuss some of the connections with knot theory.