The operator product expansion converges in massless \(\varphi_4^4\)-theory

DOI10.1007/s00220-015-2486-6zbMath1337.81092arXiv1411.1785OpenAlexW3098002963MaRDI QIDQ261590

Jan Holland, Stefan Hollands, Christoph Kopper

Publication date: 24 March 2016

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

Full work available at URL: https://arxiv.org/abs/1411.1785

zbMATH Keywords

renormalization group flowoperator product expansionweighted treeconnected amputated Schwinger functionsmassless \(\phi^4_4\)-theory

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Renormalization group methods applied to problems in quantum field theory (81T17)

Related Items (6)

Associativity of the operator product expansion ⋮ Asymptotically free solutions of the scalar mean field flow equations ⋮ All-order bounds for correlation functions of gauge-invariant operators in Yang-Mills theory ⋮ Constructing CFTs from AdS flows ⋮ Action principle for OPE ⋮ Recursive construction of the operator product expansion in curved space

Cites Work

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• The operator product expansion converges in perturbative field theory
• Perturbative renormalization of composite operators via flow equations. I
• Perturbative renormalization of massless \(\phi_ 4^ 4\) with flow equations
• Large momentum bounds from flow equations
• Perturbative renormalization of composite operators via flow equations. II: Short distance expansion
• Renormalization Group and Critical Phenomena. II. Phase-Space Cell Analysis of Critical Behavior
• Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
• Discrete Mathematics
• Perturbative Renormalization by Flow Equations
• Operator product expansion algebra

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