Improved conformal mapping of the Borel plane

DOI10.1088/0305-4470/34/7/316zbMath1001.81060arXivhep-ph/0006089OpenAlexW3100857833MaRDI QIDQ2716234

Gerhard Soff, Ulrich D. Jentschura

Publication date: 6 June 2001

Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-ph/0006089

zbMATH Keywords

quantum field theoryPadé approximantsanalytic continuation via conformal mappingresummation of divergent perturbation series

Mathematics Subject Classification ID

Perturbative methods of renormalization applied to problems in quantum field theory (81T15) Analytic continuation of functions of one complex variable (30B40)

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Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations ⋮ Short-lived modes from hydrodynamic dispersion relations ⋮ Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions ⋮ The large proper-time expansion of Yang-Mills plasma as a resurgent transseries ⋮ Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality

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