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Department of Mathematical Sciences

Seminar Archives

On this page you can find information about seminars in this and previous academic years, where available on the database.

Feynman graphs, Periods and Polylogarithms: Dyson-Schwinger solutions from the Hopf algebra of renormalization

Presented by David Broadhurst, Open University, Milton Keynes

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.

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