Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The (LATTICE) QCD Potential and Running Coupling: How to Accurately
  Interpolate between Multi-Loop QCD and the String Picture   We present a simple parameterization of a running coupling constant, defined
via the static potential, that interpolates between 2-loop QCD in the UV and
the string prediction in the IR. Besides the usual $\Lam$-parameter and the
string tension, the coupling depends on one dimensionless parameter,
determining how fast the crossover from UV to IR behavior occurs (in principle
we know how to take into account any number of loops by adding more
parameters). Using a new Ansatz for the LATTICE potential in terms of the
continuum coupling, we can fit quenched and unquenched Monte Carlo results for
the potential down to ONE lattice spacing, and at the same time extract the
running coupling to high precision. We compare our Ansatz with 1-loop results
for the lattice potential, and use the coupling from our fits to quantitatively
check the accuracy of 2-loop evolution, compare with the Lepage-Mackenzie
estimate of the coupling extracted from the plaquette, and determine Sommer's
scale $r_0$ much more accurately than previously possible. For pure SU(3) we
find that the coupling scales on the percent level for $\beta\geq 6$.

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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: cs
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The categories of this paper are: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: physics
31
The categories of this paper are: ao-sci
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The categories of this paper are: math-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th