Combinatorics of (perturbative) quantum field theory
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Publication:1596675
DOI10.1016/S0370-1573(01)00099-0zbMath0994.81080arXivhep-th/0010059OpenAlexW3100718653MaRDI QIDQ1596675
Publication date: 2 May 2002
Published in: Physics Reports (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/0010059
Related Items
Algebraic calculation of the resolvent of a generalized quantum oscillator in a space of dimension \(D\), Study of the double Lie algebra of decorated rooted trees., Bidendriform bialgebras, trees, and free quasi-symmetric functions., Renormalization as a functor on bialgebras, Renormalization in combinatorially non-local field theories: the BPHZ momentum scheme, A statistical mechanical model for non-perturbative regimes, Resurgent transseries \& Dyson-Schwinger equations, Graph insertion operads, Quantizations of Hopf algebras of decorated planar trees and connection with quantum groups., Lie algebras associated to systems of Dyson-Schwinger equations., Polynomial functors and combinatorial Dyson–Schwinger equations, Birkhoff type decompositions and the Baker-Campbell-Hausdorff recursion, Algorithms to evaluate multiple sums for loop computations, COMBINATORIAL HOPF ALGEBRAS IN QUANTUM FIELD THEORY I, Counterterms in the context of the universal Hopf algebra of renormalization, Faà di Bruno subalgebras of the Hopf algebra of planar trees from combinatorial Dyson-Schwinger equations., Hopf algebras of graphs., Two interacting Hopf algebras of trees: a Hopf-algebraic approach to composition and substitution of B-series., Hopf algebra primitives in perturbation quantum field theory, Classification of systems of Dyson-Schwinger equations in the Hopf algebra of decorated rooted trees., The analytic evolution of Dyson-Schwinger equations via homomorphism densities, Renormalization in combinatorially non-local field theories: the Hopf algebra of 2-graphs, The infinitesimal Hopf algebra and the poset of planar forests., A combinatorial matrix approach for the generation of vacuum Feynman graphs multiplicities in $\phi^{4}$ theory, Finite dimensional comodules over the Hopf algebra of rooted trees, The Epstein–Glaser approach to perturbative quantum field theory: graphs and Hopf algebras, New mathematical structures in renormalizable quantum field theories
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