Feynman Amplitudes and Cosmic Galois group

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.

References in corpus (9)

• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• The two-loop sunrise graph in two space-time dimensions with arbitrary masses in terms of elliptic dilogarithms
• Feynman integrals and hyperlogarithms
• Framings for graph hypersurfaces
• Galois theory, motives and transcendental numbers
• Cohomology of graph hypersurfaces associated to certain Feynman graphs
• Ambiguity theory, old and new
• The geometry of one-loop amplitudes
• Cuts and coproducts of massive triangle diagrams

Cited by in corpus (15)

• Numbers and Functions in Quantum Field Theory
• The Cosmic Galois Group and Extended Steinmann Relations for Planar $\mathcal{N}=4$ SYM Amplitudes
• Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case
• Embedding Feynman Integral (Calabi-Yau) Geometries in Weighted Projective Space
• The Galois coaction on ${\varphi }^4$ periods
• The Two-Loop Remainder Function for Eight and Nine Particles
• The Hopf algebra structure of the $R^{\ast }$-operation
• Zimmermann's Forest Formula, Infrared Divergences and the QCD Beta Function
• Periods and Feynman amplitudes
• Feynman amplitudes on moduli spaces of graphs
• An Introduction to Motivic Feynman Integrals
• A special case of completion invariance for the $c_2$ invariant of a graph
• Multi-valued Feynman Graphs and Scattering Theory
• A multidimensional generalization of Symanzik polynomials
• Hyperlogarithms and periods in Feynman amplitudes