Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient flow step-scaling function for SU(3) with ten fundamental
  flavors   We calculate the step scaling function, the lattice analog of the
renormalization group $\beta$-function, for an SU(3) gauge theory with ten
fundamental flavors. We present a detailed analysis including the study of
systematic effects of our extensive data set generated with ten dynamical
flavors using the Symanzik gauge action and three times stout smeared M\"obius
domain wall fermions. Using up to $32^4$ volumes, we calculate renormalized
couplings for different gradient flow schemes and determine the step-scaling
$\beta$ function for a scale change $s=2$ on up to five different lattice
volume pairs. In an accompanying paper we discuss that gradient flow can
promote lattice dislocations to instanton-like objects, introducing
nonperturbative lattice artifacts to the step scaling function. Motivated by
the observation that Wilson flow sufficiently suppresses these artifacts, we
choose Wilson flow with the Symanzik operator as our preferred analysis. We
study systematic effects by calculating the step-scaling function based on
alternative flows (Zeuthen or Symanzik), alternative operators (Wilson
plaquette, clover), and also explore the effects of the perturbative tree-level
improvement. Further we investigate the effects due to the finite value of
$L_s$.

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The categories of this paper are: funct-an
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The categories of this paper are: q-alg
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The categories of this paper are: physics
27
The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
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The categories of this paper are: q-fin
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The categories of this paper are: nucl-th
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
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The categories of this paper are: astro-ph
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The categories of this paper are: plasm-ph
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The categories of this paper are: stat
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The categories of this paper are: hep-th
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The categories of this paper are: dg-ga
10
The categories of this paper are: q-bio