Personal tools
You are here: Home Private gonska Spring School 2013 Bingen David Broadhurst: Elliptic integrals in quantum field theory

David Broadhurst: Elliptic integrals in quantum field theory

Abstract:

Massless diagrams in quantum field theory often, yet not invariably, evaluate to polylogarithms. With massive propagators, elliptic integrals appear as early as two loops. They are not to be feared, but rather welcomed, since elliptic integrals have amazingly fast numerical evaluations. In the first talk, I shall consider some fairly well-known appearances of elliptic integrals in QFT. In the second, I shall move on to diagrams that evaluate to products of elliptic integrals, which pave the way for more general evaluations, as the L-functions of modular forms at integers inside Dirichlet's critical strip, which likewise have very fast evaluations.

 

pdf file

 

Document Actions
« March 2024 »
March
MoTuWeThFrSaSu
123
45678910
11121314151617
18192021222324
25262728293031