Polylogarithms and Multizeta Values in Massless Feynman Amplitudes

DOI10.1007/978-4-431-55285-7_10zbMath1317.81209OpenAlexW2149647138MaRDI QIDQ5261337

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Publication date: 3 July 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-4-431-55285-7_10

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Polylogarithms and relations with (K)-theory (11G55)

Related Items (7)

Hyperlogarithms and Periods in Feynman Amplitudes ⋮ Relativistic causality and position space renormalization ⋮ Graphical functions in parametric space ⋮ Statistics of Feynman amplitudes in \(\phi^4\)-theory ⋮ Perturbative Quantum Field Theory Meets Number Theory ⋮ Thermal one-point functions and single-valued polylogarithms ⋮ Lambert-W solves the noncommutative \(\Phi^4\)-model

Cites Work

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• From polygons and symbols to polylogarithmic functions
• Single-valued multiple polylogarithms in one variable
• Pulling the straps of polygons
• Graphical functions and single-valued multiple polylogarithms
• Association of multiple zeta values with positive knots via Feynman diagrams up to 9 loops
• Euclidean Configuration Space Renormalization, Residues and Dilation Anomaly
• Renormalization of massless Feynman amplitudes in configuration space
• Harmonic Galois theory for finite graphs
• Missed opportunities
• Hyperbolic geometry: The first 150 years
• Iterated path integrals
• HARMONIC POLYLOGARITHMS
• Depth-graded motivic multiple zeta values

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