Feynman Amplitudes and Cosmic Galois group

2015/12/20 by Francis Brown, Brown, Francis · 1 citation
Mathematics · Physics and Astronomy · #Algebraic and Geometric Analysis #Black Holes and Theoretical Physics #FOS: Physical sciences #Mathematical Physics (math-ph) #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1512.06409

openalex publication_date 2015/12/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Galois theory, motives and transcendental numbers
• Ambiguity theory, old and new
• The geometry of one-loop amplitudes
• Framings for graph hypersurfaces
• Cuts and coproducts of massive triangle diagrams
• Cohomology of graph hypersurfaces associated to certain Feynman graphs

Cited by

• Periods and Feynman amplitudes

Related

• Notes on Motivic Periods
• Feynman Amplitudes in Mathematics and Physics
• Periods and Feynman amplitudes
• Hyperlogarithms and periods in Feynman amplitudes
• The cosmic Galois group, the sunrise Feynman integral, and the relative completion of Γ₁(6)