Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Physics of the Non-Abelian Coulomb Phase: Insights from Pad\'e
  Approximants   We consider a vectorial, asymptotically free SU($N_c$) gauge theory with
$N_f$ fermions in a representation $R$ having an infrared (IR) fixed point. We
calculate and analyze Pad\'e approximants to scheme-independent series
expansions for physical quantities at this IR fixed point, including the
anomalous dimension, $\gamma_{\bar\psi\psi,IR}$, to $O(\Delta_f^4)$, and the
derivative of the beta function, $\beta'_{IR}$, to $O(\Delta_f^5)$, where
$\Delta_f$ is an $N_f$-dependent expansion variable. We consider the
fundamental, adjoint, and rank-2 symmetric tensor representations. The results
are applied to obtain further estimates of $\gamma_{\bar\psi\psi,IR}$ and
$\beta'_{IR}$ for several SU($N_c$) groups and representations $R$, and
comparisons are made with lattice measurements. We apply our results to obtain
new estimates of the extent of the respective non-Abelian Coulomb phases in
several theories. For $R=F$, the limit $N_c \to \infty$ and $N_f \to \infty$
with $N_f/N_c$ fixed is considered. We assess the accuracy of the
scheme-independent series expansion of $\gamma_{\bar\psi\psi,IR}$ in comparison
with the exactly known expression in an ${\cal N}=1$ supersymmetric gauge
theory. It is shown that an expansion of $\gamma_{\bar\psi\psi,IR}$ to
$O(\Delta_f^4)$ is quite accurate throughout the entire non-Abelian Coulomb
phase of this supersymmetric theory.

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The categories of this paper are: nucl-th
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The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: astro-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: math
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The categories of this paper are: atom-ph
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The categories of this paper are: econ
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The categories of this paper are: q-fin