ScholarLens Back to search
2021•Symmetry Integrability and Geometry Methods and ApplicationsOpen access

An Introduction to Motivic Feynman Integrals

Universit&, Claudia Rella, #233, de Gen&, #232, ve, Switzerland

Open full text 7 citations

Abstract

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 reviewed up to the current state of research. The example of primitive log-divergent Feynman graphs in scalar massless phi4 quantum field theory is analysed in detail.

Open-access reader

About this research paper

What this paper is about

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 reviewed up to the current state of research. The example of primitive log-divergent Feynman graphs in scalar massless phi4 quantum field theory is analysed in detail.

Why it matters

OpenAlex reports 7 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

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 reviewed up to the current state of research. The example of primitive log-divergent Feynman graphs in scalar massless phi4 quantum field theory is analysed in detail.

Key concepts: Feynman integral, Feynman diagram, Mathematics, Feynman graph, Algebra over a field, Physics, Pure mathematics, Mathematical physics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
An Introduction to Motivic Feynman Integrals — Research Paper | ScholarLens