Hypergeometric continuation of divergent perturbation series: II. Comparison with Shanks transformation and Padé approximation

DOI10.1088/1751-8121/aa8f01zbMath1378.81037arXiv1803.04882OpenAlexW3105343993MaRDI QIDQ4597598

Martin Holthaus, Sören Sanders

Publication date: 13 December 2017

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

Full work available at URL: https://arxiv.org/abs/1803.04882

zbMATH Keywords

perturbation theoryanalytic continuationphase diagramquantum phase transitionBose-Hubbard model

Mathematics Subject Classification ID

Padé approximation (41A21) Statistical mechanics of semiconductors (82D37) Statistical mechanics of superfluids (82D50) Perturbation theories for operators and differential equations in quantum theory (81Q15) Many-body theory; quantum Hall effect (81V70) Generalized hypergeometric series, ({}_pF_q) (33C20) Statistical thermodynamics (82B30) Analytic continuation of functions of one complex variable (30B40)

Related Items (4)

Quantum critical properties of Bose–Hubbard models ⋮ Extrapolation from hypergeometric functions, continued functions and Borel-Leroy transformation; resummation of perturbative renormalization functions from field theories ⋮ High-order parametrization of the hypergeometric-Meijer approximants ⋮ Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose–Hubbard model

Cites Work

• Hypergeometric continuation of divergent perturbation series: I. Critical exponents of the Bose–Hubbard model
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