Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Large volume behaviour of Yang-Mills propagators   We investigate finite volume effects in the propagators of Landau gauge
Yang-Mills theory using Dyson-Schwinger equations on a 4-dimensional torus. In
particular, we demonstrate explicitly how the solutions for the gluon and the
ghost propagator tend towards their respective infinite volume forms in the
corresponding limit. This solves an important open problem of previous studies
where the infinite volume limit led to an apparent mismatch, especially of the
infrared behaviour, between torus extrapolations and the existing infinite
volume solutions obtained in 4-dimensional Euclidean space-time. However, the
correct infinite volume limit is approached rather slowly. The typical scales
necessary to see the onset of the leading infrared behaviour emerging already
imply volumes of at least 10 to 15 fm in lengths. To reliably extract the
infrared exponents of the infinite volume solutions requires even much larger
ones. While the volumes in the Monte-Carlo simulations available at present are
far too small to facilitate that, we obtain a good qualitative agreement of our
torus solutions with recent lattice data in comparable volumes.

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The categories of this paper are: astro-ph
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The categories of this paper are: q-fin
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-ex
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The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: bayes-an
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The categories of this paper are: eess
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The categories of this paper are: quant-ph
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th
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The categories of this paper are: comp-gas
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The categories of this paper are: gr-qc
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The categories of this paper are: stat
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The categories of this paper are: chem-ph