Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher-Loop Calculations of the Ultraviolet to Infrared Evolution of a
  Vectorial Gauge Theory in the Limit $N_c \to \infty$, $N_f \to \infty$ with
  $N_f/N_c$ Fixed   We consider an asymptotically free vectorial SU($N_c$) gauge theory with
$N_f$ fermions in the fundamental representation and analyze higher-loop
contributions to the evolution of the theory from the ultraviolet to the
infrared in the limit where $N_c \to \infty$ and $N_f \to \infty$ with
$r=N_f/N_c$ a fixed, finite constant. We focus on the case where the $n$-loop
beta function has an infrared zero, at $\xi=\xi_{IR,n\ell}$, where $\xi=\alpha
N_c$. We give results on $\xi_{IR,n\ell}$, the anomalous dimension of the
fermion bilinear evaluated at $\xi_{IR,n\ell}$, denoted $\gamma_{IR,n\ell}$,
and certain structural properties of the beta function, $\beta_\xi$. The
approach to this limit is investigated, and it is shown that the leading
correction terms are strongly suppressed, by the factor $1/N_c^2$. This
provides an understanding of a type of approximate universality in calculations
for moderate values of $N_c$ and $N_f$, namely that $\alpha_{IR,n\ell}N_c$,
$\gamma_{IR,n\ell}$, and structural properties of the beta function are similar
in theories with different values of $N_c$ and $N_f$ provided that they have
similar values of $N_f/N_c$. We give results up to four loops for
nonsupersymmetric theories and up to three loops for supersymmetric theories.

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The categories of this paper are: q-bio
19
The categories of this paper are: eess
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
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The categories of this paper are: cs
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The categories of this paper are: hep-ex
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The categories of this paper are: math
25
The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
28
The categories of this paper are: alg-geom
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex