Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The renormalised $\mathrm{O}(a)$ improved vector current in
  three-flavour lattice QCD with Wilson quarks   We present the results of a non-perturbative determination of the improvement
coefficient $c_\mathrm{V}$ and the renormalisation factor $Z_\mathrm{V}$, which
define the renormalised vector current in three-flavour $\mathrm{O}(a)$
improved lattice QCD with Wilson quarks and tree-level Symanzik-improved gauge
action. In case of the improvement coefficient, we consider both lattice
descriptions of the vector current, the local as well as the conserved (i.e.,
point-split) one. Our improvement and normalisation conditions are based on
massive chiral Ward identities and numerically evaluated in the Schr\"odinger
functional setup, which allows to eliminate finite quark mass effects in a
controlled way. In order to ensure a smooth dependence of the renormalisation
constant and improvement coefficients on the bare gauge coupling, our
computation proceeds along a line of constant physics, covering the typical
range of lattice spacings $0.04\,\mathrm{fm}\lesssim a\lesssim
0.1\,\mathrm{fm}$ that is useful for phenomenological applications. Especially
for the improvement coefficient of the local vector current, we report
significant differences between the one-loop perturbative estimates and our
non-perturbative results.

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The categories of this paper are: hep-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: physics
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The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: plasm-ph
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The categories of this paper are: solv-int