5e Séminaire Itzykson : "Feynman Integrals"
2
2016
409
3 Stunden 16 Minuten
2 Ergebnisse
2:03:56
271Brown, FrancisIn this talk, aimed at master's and Ph.D students, I will explain how to assign integrals to certain graphs representing physical processes. After discussing the standard integral representations and their underlying geometry, I will give an overview of what is presently known and not known about Feynman integrals, and indicate why they are of interest to mathematicians.
2016Institut des Hautes Études Scientifiques (IHÉS)
1:12:34
138Panzer, EricMany Feynman integrals evaluate to multiple polylogarithms and their special values like multiple zeta values. One particularly successful approach to understand this phenomenon is due to Francis Brown and uses iterated integrals called hyperlogarithms as a basis for the arising transcendental functions. I will go through the computation of a simple example in detail in order to explain this method, which combines calculus, algebra and combinatorics. The underlying geometric idea of linear reducibility will become clear as well. This hands-on talk aims to be accessible to students of both physics and mathematics.
2016Institut des Hautes Études Scientifiques (IHÉS)