Quantization of gauge fields, graph polynomials and graph homology

DOI10.1016/j.aop.2013.04.019zbMath1327.81282arXiv1208.6477OpenAlexW1970347334WikidataQ116282886 ScholiaQ116282886MaRDI QIDQ2442348

Matthias Sars, Dirk Kreimer, Walter D. van Suijlekom

Publication date: 3 April 2014

Published in: Annals of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1208.6477

zbMATH Keywords

graph homologygraph polynomialsparametric renormalizationquantization of gauge fieldsSymanzik polynomials: corolla polynomial

Mathematics Subject Classification ID

Yang-Mills and other gauge theories in quantum field theory (81T13) Quantization in field theory; cohomological methods (81T70) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Relations with algebraic geometry and topology (11F23)

Related Items (15)

Contraction of Dirac matrices via chord diagrams ⋮ On the homology of independence complexes ⋮ Diagrammatic cancellations and the gauge dependence of QED ⋮ The Corolla polynomial for spontaneously broken gauge theories ⋮ Gauge symmetries and renormalization ⋮ Algebraic structures in the coupling of gravity to gauge theories ⋮ New graph polynomials in parametric QED Feynman integrals ⋮ Log expansions from combinatorial Dyson-Schwinger equations ⋮ Complexes of marked graphs in gauge theory ⋮ On the analytic computation of massless propagators in dimensional regularization ⋮ Off-shell diagrammatics for quantum gravity ⋮ Gravity-Matter Feynman Rules for any Valence ⋮ Feynman graph generation and calculations in the Hopf algebra of Feynman graphs ⋮ The signed permutation group on Feynman graphs ⋮ A Schwinger-Dyson equation in the Borel plane: singularities of the solution

Cites Work

• A \(K3\) in \(\phi^{4}\)
• Anatomy of a gauge theory
• On motives associated to graph polynomials
• The structure of renormalization Hopf algebras for gauge theories. I: Representing Feynman graphs on BV-algebras
• On a theorem of Kontsevich
• Renormalization of gauge fields: a Hopf algebra approach

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