18-22 March 2019
Mainz Institute for Theoretical Physics, Johannes Gutenberg University
Europe/Berlin timezone

Algorithmic approaches to syzygies for no-dot or no-numerator relations

20 Mar 2019, 15:00
1h
02.430 (Mainz Institute for Theoretical Physics, Johannes Gutenberg University)

02.430

Mainz Institute for Theoretical Physics, Johannes Gutenberg University

Staudingerweg 9 / 2nd floor, 55128 Mainz

Speaker

Dr Andreas von Manteuffel (Michigan State University)

Description

The calculation of syzygies for the generation of linear relations between Feynman integrals can be challenging for state-of-the-art calculations in quantum chromodynamics. I will discuss how basic linear algebra methods can be employed to efficiently compute the relevant syzygies for different applications: relations in the Baikov representation which avoid squared propagators (“dots”) and relations in the Lee-Pomeransky representation which avoid numerators. In the latter case I will discuss applications for relations involving also higher order differential operators.

Primary author

Dr Andreas von Manteuffel (Michigan State University)

Presentation Materials