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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: Singular values of elliptic integrals in quantum field theory

Presented by David Broadhurst, Open University, Milton Keynes

10 January 2008 16:00 in CM105

Massless Feynman diagrams often yield multiple zeta values, which are conjectured to be periods of a mixed Tate
motive. Yet the definition of a period is much more general, encompassing for example the lemniscate constant, which comes from the first singular value for a complete elliptic integral. I shall discuss massive Feynman diagrams that yield the 15th singular value. There is a strong link between these diagrams and Green functions on diamond and cubic lattices, in condensed matter theory.

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