Feynman diagrams: from numbers to motives

Recently, new mathematical structures emerged in the study of Feynman diagrams: plugging Feynman graphs into each other, or decomposing them according to the Bogoliubov recursion of renormalization establishes combinatorial Lie and Hopf algebra structures in quantum field theory. We will discuss how the study of such algebras leads to new insights into the structure of QFT as well as to computational progress.
hep group
Last modified: Thu Feb 15 20:04:31 EST 2001