On renormalization in nonrelativistic interaction models with infinities

DOI10.1063/1.527293zbMath0605.46052OpenAlexW2068782241MaRDI QIDQ3743869

Ralph Girard, Helmut Kroeger, Anais Smailagic

Publication date: 1986

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

Full work available at URL: https://doi.org/10.1063/1.527293

zbMATH Keywords

Green's functionperturbation expansionS matrixquantum electrodynamicsFeynman graphs of field theorynonrelativistic separable interactionsumming the renormalized perturbation series

Mathematics Subject Classification ID

Perturbation theory of linear operators (47A55) Electromagnetic interaction; quantum electrodynamics (81V10) Renormalization group methods applied to problems in quantum field theory (81T17) (S)-matrix theory, etc. in quantum theory (81U20) Miscellaneous applications of functional analysis (46N99)

Cites Work

• Geometric analysis of \(\phi^ 4\) fields and Ising models. I, II
• Two-Nucleon Problem When the Potential Is Nonlocal but Separable. I

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