Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extrapolating the precision of the Hypergeometric Resummation to Strong
  couplings with application to the $\mathcal{PT-}$Symmetric $i\phi^{3}$ Field
  Theory   In PRL 115, 143001 (2015), H. Mera et al. developed a new simple but precise
Hypergeometric Resummation technique. In this work, we suggest to obtain half
of the parameters of the Hypergeometric function from the strong coupling
expansion of the physical quantity. Since these parameters are taking now their
exact values they can improve the precision of the technique for the whole
range of the coupling values. The second order approximant $\,_{2}F_{1}$ of the
algorithm is applied to resum the perturbation series of the ground state
energy of the $\mathcal{PT-}$symmetric $(i\phi^{3})_{0+1}$ field theory. It
gives accurate results compared to exact calculations from the literature
specially for very large coupling values. The $\mathcal{PT-}$ symmetry breaking
of the Yang-Lee model has been investigated where third, fourth and fifth
orders were able to get very accurate results when compared to other
resummation methods involving $150$ orders. The critical exponent $\nu$ of the
$O(4)$-symmetric model in three dimensions has been precisely obtained using
only first order of perturbation series as input. The algorithm can be extended
easily to accommodate any order of perturbation series in using the generalized
Hypergeometric function $\,_{k+1}F_{k}$ as it shares the same analytic
properties with $\,_{2}F_{1}$.

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The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
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The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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The categories of this paper are: cond-mat
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The categories of this paper are: supr-con
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The categories of this paper are: patt-sol
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The categories of this paper are: nlin
8
The categories of this paper are: hep-ex