A GEOMETRIC PERSPECTIVE ON COUNTERTERMS RELATED TO DYSON–SCHWINGER EQUATIONS

DOI10.1142/S0217751X13501704zbMath1284.81153OpenAlexW2102415526MaRDI QIDQ5405821

Ali Shojaei-Fard

Publication date: 3 April 2014

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0217751x13501704

zbMATH Keywords

Picard-Fuchs equationscountertermsDyson-Schwinger equationsHopf algebra of Feynman diagramsequi-singular connections

Mathematics Subject Classification ID

Feynman diagrams (81T18) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Hopf algebras and their applications (16T05)

Related Items (8)

A new perspective on intermediate algorithms via the Riemann-Hilbert correspondence ⋮ Graphons and renormalization of large Feynman diagrams ⋮ A measure theoretic perspective on the space of Feynman diagrams ⋮ Non-perturbative β-functions via Feynman graphons ⋮ The dynamics of non-perturbative phases via Banach bundles ⋮ The complexities of nonperturbative computations ⋮ Counterterms in the context of the universal Hopf algebra of renormalization ⋮ THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS

Cites Work

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• The QED \(\beta \)-function from global solutions to Dyson-Schwinger equations
• On the Hopf algebra strucutre of perturbative quantum field theories
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• Renormalization of gauge fields: a Hopf algebra approach
• On the structure of Hopf algebras
• Some aspects of Baxter's functional equation
• MOTIVIC DYSON–SCHWINGER EQUATIONS
• THE GLOBAL β-FUNCTIONS FROM SOLUTIONS OF DYSON–SCHWINGER EQUATIONS
• FROM DYSON–SCHWINGER EQUATIONS TO THE RIEMANN–HILBERT CORRESPONDENCE
• FEYNMAN GRAPH POLYNOMIALS
• GEOMETRICALLY RELATING MOMENTUM CUT-OFF AND DIMENSIONAL REGULARIZATION
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.

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