Feynman graphs, Periods and Polylogarithms: Singular values of elliptic integrals in quantum field theory
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.