Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gribov Copies in the Maximally Abelian Gauge and Confinement   We fix $SU(2)$ lattice gauge fields to the Maximally Abelian gauge in both
three and four dimensions. We extract the corresponding $U(1)$ fields and
monopole current densities and calculate separately the confining string
tensions arising from these $U(1)$ fields and monopole `condensates'. We
generate multiple Gribov copies and study how the $U(1)$ fields and monopole
distributions vary between these different copies. As expected, we find
substantial variations in the number of monopoles, their locations and in the
values of the $U(1)$ field strengths. The string tensions extracted from
`extreme' Gribov copies also differ but this difference appears to be no more
than about 20\%. We also directly compare the fields of different Gribov
copies. We find that on the distance scales relevant to confinement the $U(1)$
and monopole fluxes that disorder Wilson loops are highly correlated between
these different Gribov copies. All this suggests that while there is indeed a
Gribov copy problem the resulting ambiguity is, in this gauge and for the study
of confinement, of limited importance.

31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
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The categories of this paper are: econ
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
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The categories of this paper are: cmp-lg
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas
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The categories of this paper are: alg-geom
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn