16-20 November 2020
IHES
Europe/Paris timezone

New Techniques for Worldline Integration

19 Nov 2020, 17:20
50m
Marilyn and James Simons Conference Center (IHES)

Marilyn and James Simons Conference Center

IHES

35 route de Chartres, F-91440 Bures-sur-Yvette, France

Speaker

Prof. Christian SCHUBERT (Universidad Michoacana de San Nicolas de Hidalgo)

Description

The worldline formalism provides an alternative to Feynman diagrams in the construction of amplitudes and effective actions that shares some of the superior properties of the organization of amplitudes in string theory. In particular, it allows one to write down integral representations combining the contributions of large classes of Feynman diagrams of different topologies. However, calculating these integrals analytically without splitting them into sectors corresponding to individual diagrams poses a formidable mathematical challenge. I will summarize the history and state of the art of this problem, including some natural connections to the theory of Bernoulli numbers and multiple zeta values.

Presentation Materials