Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Dirac sheet configurations of SU(2) lattice fields   Finite temperature Euclidean SU(2) lattice gauge fields close to the
deconfinement phase transition are subjected to cooling. We find relatively
stable or absolutely stable configurations with an action below the
one-instanton action $S_{inst}=2\pi^2$ both in the deconfinement and the
confinement phases. In this paper we attempt an interpretation of these lowest
action configurations. Their action is purely magnetic and amounts to
$S/S_{inst} \approx N_t/N_s$, where $N_t$ ($N_s$) is the timelike (spacelike)
lattice size, while the topological charge vanishes. In the confined phase part
of the corresponding lattice configurations turns out to be absolutely stable
with respect to the cooling process in which case Abelian projection reveals a
homogeneous, purely Abelian magnetic field closed over the "boundary" in one of
the spatial directions. Referring to the dyonic structure established for the
confinement phase near $T_c$ and based on the observation made for this phase
that such events below the instanton action $S_{inst}$ emerge from
dyon-antidyon annihilation, the question of stability (metastability) is
discussed for both phases. The hypothetically different dyonic structure of the
deconfinement phase, inaccessible by cooling, could explain the metastability.

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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: cond-mat
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The categories of this paper are: math
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The categories of this paper are: cs
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: q-alg
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The categories of this paper are: alg-geom
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: funct-an
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The categories of this paper are: gr-qc
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The categories of this paper are: hep-th