From dynamical systems to renormalization
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Publication:5409657
DOI10.1063/1.4820375zbMath1346.81088arXiv1302.6037OpenAlexW2013333747MaRDI QIDQ5409657
Publication date: 14 April 2014
Published in: Journal of Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1302.6037
Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Graded Lie (super)algebras (17B70) Hopf algebras and their applications (16T05)
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Rayleigh-Schrödinger series and Birkhoff decomposition, Non-commutative normal form, spectrum and inverse problem, Normalization in Lie algebras via mould calculus and applications
Cites Work
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- Exponential renormalization
- A criterion of integrability for perturbed nonresonant harmonic oscillators. Wick Ordering of the perturbations in classical mechanics and invariance of the frequency spectrum
- Noncommutative geometry, quantum fields and motives
- A noncommutative Bohnenblust-Spitzer identity for Rota-Baxter algebras solves Bogoliubov's recursion
- Singularities that are inaccessible by geometry
- Correction and linearization of resonant vector fields and diffeomorphisms
- Renormalization in quantum field theory and the Riemann-Hilbert problem. I: The Hopf algebra structure of graphs and the main theorem
- Logarithmic derivatives and generalized Dynkin operators
- On the stability of some groups of formal diffeomorphisms by the Birkhoff decomposition
- Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion
- A Lie theoretic approach to renormalization
- Ecalle's arborification-coarborification transforms and Connes-Kreimer Hopf algebra
- Formulas for the Connes-Moscovici Hopf algebra
- Formal differential equations and renormalization
- Renormalization in quantum field theory and the Riemann-Hilbert problem. II: The \(\beta\)-function, diffeomorphisms and the renormalization group.
