Distributional limits of renormalized Feynman integrals with zero-mass denominators

DOI10.1007/BF01609352zbMath0323.46069MaRDI QIDQ1224288

J. H. Lowenstein, Eugene R. Speer

Publication date: 1976

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

Mathematics Subject Classification ID

Feynman diagrams (81T18) Renormalization group methods applied to problems in quantum field theory (81T17) Measure (Gaussian, cylindrical, etc.) and integrals (Feynman, path, Fresnel, etc.) on manifolds (46T12)

Related Items

Probabilistic aspects of quantum field theory, BPHZ renormalization in configuration space for the \(\mathcal{A}^4\)-model, Machinery for the analysis of field theories with zero-mass particles, Analytic continuation of massless Feynman amplitudes in the Schwartz space \({\mathcal S}'\), Decoupling theorem of quantum field theory in Minkowski space, Axioms for renormalization in Euclidean quantum field theory

Cites Work

• Unnamed Item
• Proof of the Bogoliubov-Parasiuk theorem on renormalization
• Convergence theorems for renormalized Feynman integrals with zero-mass propagators
• Convergence of Bogoliubov's method of renormalization in momentum space
• Resolution of Singularities and Division of Distributions