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

DOI10.1088/1367-2630/aa9165zbMath1516.81087arXiv1803.04876MaRDI QIDQ6172644

Sören Sanders, Martin Holthaus

Publication date: 20 July 2023

Published in: New Journal of Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.04876

Mathematics Subject Classification ID

Perturbation theories for operators and differential equations in quantum theory (81Q15) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

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 ⋮ Hypergeometric continuation of divergent perturbation series: II. Comparison with Shanks transformation and Padé approximation ⋮ Critical exponents from the weak-coupling, strong-coupling and large-order parametrization of the hypergeometric \((_{k+1}F_k)\) approximants

Cites Work

• Critical phenomena and renormalization-group theory
• Quantum Cell Model for Bosons
• Hypergeometric continuation of divergent perturbation series: II. Comparison with Shanks transformation and Padé approximation
• Unnamed Item

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