Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Thermomagnetic correlation lengths of strongly interacting matter in the
  Nambu--Jona-Lasinio model   We study the correlation length between test quarks with the same electric
and color charges in the Nambu--Jona-Lasinio model, considering thermal and
magnetic effects. We extract the correlation length from the quark correlation
function. The latter is constructed from the probability amplitude to bring a
given quark into the plasma, once a previous one with the same quantum numbers
is placed at a given distance apart. For temperatures below the transition
temperature, the correlation length starts growing as the field strength
increases to then decrease for large magnetic fields. For temperatures above
the critical temperature, the correlation length continues increasing as the
field strength increases. We found that such behavior can be understood as a
competition between the tightening induced by the classical magnetic force
versus the random thermal motion. For large enough temperatures, the increase
of the occupation number contributes to the screening of the interaction
between the test particles. The growth of the correlation distance with the
magnetic field can be understood as due to the closer proximity between one of
the test quarks and the ones popped up from vacuum, which in turn appear due to
the increase of the occupation number with temperature.

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The categories of this paper are: quant-ph
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The categories of this paper are: astro-ph
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The categories of this paper are: math
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The categories of this paper are: q-fin
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
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The categories of this paper are: solv-int
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The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-th
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The categories of this paper are: econ