Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hypergeometric continuation of divergent perturbation series. II.
  Comparison with Shanks transformation and Pad\'e approximation   We explore in detail how analytic continuation of divergent perturbation
series by generalized hypergeometric functions is achieved in practice. Using
the example of strong-coupling perturbation series provided by the
two-dimensional Bose-Hubbard model, we compare hypergeometric continuation to
Shanks and Pad\'e techniques, and demonstrate that the former yields a
powerful, efficient and reliable alternative for computing the phase diagram of
the Mott insulator-to-superfluid transition. In contrast to Shanks
transformations and Pad\'e approximations, hypergeometric continuation also
allows us to determine the exponents which characterize the divergence of
correlation functions at the transition points. Therefore, hypergeometric
continuation constitutes a promising tool for the study of quantum phase
transitions.

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The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
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The categories of this paper are: funct-an
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
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The categories of this paper are: astro-ph
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The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: nlin
26
The categories of this paper are: bayes-an