Generalised graph Laplacians and canonical Feynman integrals with kinematics

DOI10.1007/s00220-023-04879-3arXiv2205.10094OpenAlexW4391676772WikidataQ128162128 ScholiaQ128162128MaRDI QIDQ6153506

Francis C. S. Brown

Publication date: 14 February 2024

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2205.10094

Mathematics Subject Classification ID

Graph theory (05Cxx) Quantum field theory; related classical field theories (81Txx) General mathematical topics and methods in quantum theory (81Qxx)

Cites Work

• Unnamed Item
• Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals
• Angles, scales and parametric renormalization
• Spanning forest polynomials and the transcendental weight of Feynman graphs
• On the tropical Torelli map
• Feynman amplitudes and Landau singularities for one-loop graphs
• On motives associated to graph polynomials
• Quantum periods: a census of \(\phi^4\)-transcendentals
• Moduli of graphs and automorphisms of free groups
• Feynman amplitudes, coaction principle, and cosmic Galois group
• Pfaffians and determinant of E. H. Moore
• The amplituhedron
• Single-valued integration and double copy
• Motivic Galois coaction and one-loop Feynman graphs
• Invariant differential forms on complexes of graphs and Feynman integrals
• Graphical functions in even dimensions
• The Hopf algebra structure of the \(R^\ast\)-operation
• Dodgson polynomial identities
• Moduli spaces of colored graphs
• Graphical functions in parametric space
• Graph complexes and Feynman rules
• Stable real cohomology of arithmetic groups
• A geometrical angle on Feynman integrals
• Quaternions and matrices of quaternions
• Tropical moduli spaces as symmetric Δ$\Delta$‐complexes