Renormalization automated by Hopf algebra
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Publication:1300631
DOI10.1006/jsco.1999.0283zbMath1049.81048arXivhep-th/9810087OpenAlexW2024131740MaRDI QIDQ1300631
Dirk Kreimer, David J. Broadhurst
Publication date: 1999
Published in: Journal of Symbolic Computation (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9810087
Numerical optimization and variational techniques (65K10) Model quantum field theories (81T10) Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Feynman diagrams (81T18) Software, source code, etc. for problems pertaining to quantum theory (81-04)
Related Items
Unnamed Item, Graphons and renormalization of large Feynman diagrams, The Hopf algebra of Feynman graphs in quantum electrodynamics, A measure theoretic perspective on the space of Feynman diagrams, Updown categories: generating functions and universal covers, From Dyson-Schwinger equations to quantum entanglement, The dynamics of non-perturbative phases via Banach bundles, The complexities of nonperturbative computations, Combinatoric explosion of renormalization tamed by Hopf algebra: 30-loop Padé-Borel resummation., Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality, Hopf algebra primitives in perturbation quantum field theory, Combinatorics of rooted trees and Hopf algebras, Unique factorization in perturbative QFT, Renormalization and Mellin Transforms, A free subalgebra of the algebra of matroids, Combinatorics of (perturbative) quantum field theory, Finite dimensional comodules over the Hopf algebra of rooted trees, New mathematical structures in renormalizable quantum field theories
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