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About An Introduction To Motivic Feynman Integrals
This article provides an introduction to representing parametric Feynman integrals in scalar quantum field theory as periods of motives. It reviews how motivic Galois theory can be applied to the algebraic and categorical structures underlying Feynman graphs. As an example, it analyzes primitive log-divergent Feynman graphs in scalar massless φ4 theory in detail. The article describes the graph-theoretic framework for Feynman diagrams, introduces motivic periods and their properties, and explains how Feynman integrals can be promoted to periods of motives by using techniques from algebraic geometry and topology.
Detailed Information
| Author: | ['mammtt'] |
|---|---|
| Publication Year: | 2020 |
| Pages: | 39 |
| Language: | English |
| Format: | |
| Price: | FREE |
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