Circuit based graphs for renormalized perturbation theory

DOI10.1007/BF01238843zbMath0433.05050MaRDI QIDQ1139060

Richard R. Hampton

Publication date: 1979

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

zbMATH Keywords

diagramgraphperturbationLagrangiancircuitsquantumseriesamplitudefieldFeynmanrenormalized

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Perturbation theories for operators and differential equations in quantum theory (81Q15) Renormalization group methods applied to problems in quantum field theory (81T17) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Other problems of combinatorial convexity (52A37) Graph theory (05C99)

Cites Work

• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Convergence of Bogoliubov's method of renormalization in momentum space
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