Feynman Amplitudes and Cosmic Galois group
Francis Brown
TL;DR
This paper explores the mathematical structure of Feynman amplitudes through the lens of motivic periods and the Cosmic Galois group, aiming to deepen understanding of their algebraic and geometric properties.
Contribution
It introduces a novel perspective connecting Feynman amplitudes with motivic periods and the Cosmic Galois group, advancing the mathematical framework of quantum field theory.
Findings
Identification of motivic periods in Feynman amplitudes
Proposal of the Cosmic Galois group acting on these periods
Insights into the algebraic structure underlying quantum calculations
Abstract
The first part of a set of notes based on lectures given at the IHES in May 2015 on Feynman amplitudes and motivic periods.
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Taxonomy
TopicsAlgebraic and Geometric Analysis · Noncommutative and Quantum Gravity Theories · Black Holes and Theoretical Physics