On two constructions of an effective field theory

DOI10.1112/jlms/jdw034zbMath1347.81059arXiv1502.05790OpenAlexW3102354771MaRDI QIDQ2822150

Alastair Hamilton

Publication date: 27 September 2016

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.05790

Mathematics Subject Classification ID

Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Applications of global analysis to the sciences (58Z05) Renormalization group methods applied to problems in quantum field theory (81T17) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Heat and other parabolic equation methods for PDEs on manifolds (58J35) Tensor products in functional analysis (46M05)

Cites Work

• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Über die Multiplikation der Kausalfunktionen in der Quantentheorie der Felder
• Insertion and elimination: The doubly infinite Lie algebra of Feynman graphs
• Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
• Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations.
• Convergence of Bogoliubov's method of renormalization in momentum space
• Polynomial functors and combinatorial Dyson–Schwinger equations
• Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
• Modular operads
• Renormalization
• Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
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