27–30 Sept 2022
DESY Hamburg
Europe/Berlin timezone

Special functions in field theory and string amplitudes

29 Sept 2022, 17:10
20m
Seminar room 2, DESY Hamburg

Seminar room 2, DESY Hamburg

Strings & Mathematical Physics Parallel Session Strings

Speaker

Martijn Hidding (Uppsala Univeristy)

Description

I will review the types of special functions appearing in Feynman integrals and string amplitudes, and show how multiple polylogarithms (MPLs) and elliptic multiple polylogarithms (eMPLs) appear in both contexts. Next, I will present new work on elliptic modular graph forms (eMGFs), which appear in closed genus-one string amplitudes. These functions can be loosely thought of as single-valued versions of eMPLs. I will illustrate how eMGFs can be studied in the language of iterated integrals, and that many computational techniques are similar from the land of Feynman integrals. Finally, I will compare analytic methods for the computation of Feynman integrals with numerical methods, and touch on some recent developments in the latter area.

Author

Martijn Hidding (Uppsala Univeristy)

Presentation materials