The analytic evolution of Dyson-Schwinger equations via homomorphism densities

DOI10.1007/s11040-021-09389-zzbMath1470.81049OpenAlexW3165719291MaRDI QIDQ2046710

Ali Shojaei-Fard

Publication date: 18 August 2021

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-021-09389-z

zbMATH Keywords

Taylor seriescombinatorial Dyson-Schwinger equationsFeynman graphonshomomorphism densities of graphonsnon-perturbative QFT

Mathematics Subject Classification ID

Continuum limits in quantum field theory (81T27) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Probabilistic methods in Banach space theory (46B09) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58) Derivatives of functions in infinite-dimensional spaces (46G05) Infinite graphs (05C63)

Related Items (5)

Non-perturbative graph languages, halting problem and complexity ⋮ A statistical mechanical model for non-perturbative regimes ⋮ Graph polynomials associated with Dyson-Schwinger equations ⋮ From Dyson-Schwinger equations to quantum entanglement ⋮ The dynamics of non-perturbative phases via Banach bundles

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