An Introduction to Motivic Feynman Integrals

• Published in: Symmetry, Integrability and Geometry: Methods and Applications
• Date: 2021
• Main Author: Rella, Claudia
• Format: Article
• Language: English
• Published: Інститут математики НАН України 2021
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/211317
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: An Introduction to Motivic Feynman Integrals. Claudia Rella. SIGMA 17 (2021), 032, 56 pages

This article gives a short step-by-step introduction to the representation of parametric Feynman integrals in scalar perturbative quantum field theory as periods of motives. The application of motivic Galois theory to the algebro-geometric and categorical structures underlying Feynman graphs is revi...