Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The $\lambda$-point anomaly in view of the seven-loop Hypergeometric
  resummation for the critical exponent $\nu$ of the $O(2)$ $\phi^4$ model   In this work, we use a specific parameterization of the hypergeometric
approximants ( the one by Mera et.al in Phys. Rev. Let. 115, 143001 (2015)) to
approximate the seven-loop critical exponent $\nu$ for the $O(2)$-symmetric
$\phi^4$ model. Our prediction gives the result $\nu=0.6711(7)$ which is
compatible with the value $\nu=0.6709(1)$ from the famous experiment carried on
the space shuttle Columbia. On the other hand, our result is also compatible
with recent precise theoretical predictions that are excluding the experimental
result. These theoretical results include non-perturbative renormalization
group calculations ( $\nu=0.6716(6)$), the most precise result from Monte Carlo
simulations ($\nu=0.67169(7)$) as well as the recent conformal bootstrap
calculations ($\nu=0.67175(10)$). Although our result is compatible with
experiment, the plot of renormalization group result versus the number of loops
suggests that higher orders are expected to add significantly to accuracy and
precision of the $\nu$ exponent in a way that may favor the theoretical
predictions.

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The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: solv-int
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The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
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The categories of this paper are: alg-geom
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The categories of this paper are: patt-sol
18
The categories of this paper are: econ