On the local Borel transform of perturbation theory
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Publication:964467
DOI10.1007/s00220-009-0979-xzbMath1192.81223arXiv0902.2483OpenAlexW2046687436MaRDI QIDQ964467
Publication date: 15 April 2010
Published in: Communications in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0902.2483
perturbation theoryBorel transformSchwinger-Dyson equationscalar quantum field theorydifferential flow equation
Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18)
Related Items (4)
Asymptotically free solutions of the scalar mean field flow equations ⋮ The operator product expansion converges in perturbative field theory ⋮ Operator product expansion algebra ⋮ Recursive construction of operator product expansion coefficients
Cites Work
- On the large order behavior of \(\Phi^4_4\)
- A Lipatov bound for \(\Phi^4_4\) Euclidean field theory
- Bounds on completely convergent Euclidean Feynman graphs
- Leading large order asymptotics for \((\phi ^ 4)_ 2\) perturbation theory
- Local Borel summability of Euclidean \(\Phi_ 4^ 4\): A simple proof via differential flow equations
- Large momentum bounds from flow equations
- Renormalization proof for massive \(\phi_4^4\) theory on Riemannian manifolds
- Renormalization Group and Critical Phenomena. I. Renormalization Group and the Kadanoff Scaling Picture
- Perturbative Renormalization by Flow Equations
- CONTINUITY OF THE FOUR-POINT FUNCTION OF MASSIVE $\varphi_{4}^{4}$-THEORY ABOVE THRESHOLD
- Temperature independent renormalization of finite temperature field theory
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