Feynman graphs, Periods and Polylogarithms: Dyson-Schwinger solutions from the Hopf algebra of renormalization
9 January 2008 14:00 in CM105
Thanks to Kreimer's Hopf algebra of renormalization, the process of subtraction of subdivergences, represented by rooted trees, has been reduced to a combinatoric procedure. I shall discuss two summations of Feynman diagrams, each with an asymptotic expansion that may be efficiently computed, to 500 terms. In one case, we know the non-perturbative result that is thereby expanded; in the other case, we do not.