Alien calculus and a Schwinger-Dyson equation: two-point function with a nonperturbative mass scale

DOI10.1007/s11005-017-1016-1zbMath1382.81102arXiv1612.07813OpenAlexW3102404460WikidataQ114955292 ScholiaQ114955292MaRDI QIDQ1696036

Pierre J. Clavier, Marc P. Bellon

Publication date: 14 February 2018

Published in: Letters in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1612.07813

zbMATH Keywords

Borel transformrenormalizationSchwinger-Dyson equationalien calculusaccelero-summation

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Nonperturbative methods of renormalization applied to problems in quantum field theory (81T16) Renormalization group methods applied to problems in quantum field theory (81T17) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Abel, Borel and power series methods (40G10) Bethe-Salpeter and other integral equations arising in quantum theory (81Q40)

Related Items (9)

Non-perturbative completion of Hopf-algebraic Dyson-Schwinger equations ⋮ Resonant resurgent asymptotics from quantum field theory ⋮ Resurgence of the renormalization group equation ⋮ Semiclassical trans-series from the perturbative Hopf-algebraic Dyson-Schwinger equations: \(\phi^3\) QFT in 6 dimensions ⋮ Connected Chord Diagrams and the Combinatorics of Asymptotic Expansions ⋮ Resurgent analysis of Ward-Schwinger-Dyson equations ⋮ Self-dualities and renormalization dependence of the phase diagram in 3d \(O(N)\) vector models ⋮ Borel-Écalle resummation of a two-point function ⋮ Analyticity domain of a quantum field theory and accelero-summation

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