Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Aspects of the Gribov-Zwanziger framework   The existence of gauge (Gribov) copies disturbs the usual Faddeev-Popov
quantization procedure in the Landau gauge. It is a very hard job to treat
these in the continuum, even in a partial manner. A decent way to do so was
worked out by Gribov, and later on by Zwanziger. The final point was a
renormalizable action (the Gribov-Zwanziger action), implementing the
restriction of the path integration to the so-called Gribov region, which is
free of a subset of gauge copies, but not of all copies. Till recently,
everybody agreed upon the fact that the restriction to the Gribov region
implied a infrared enhanced ghost, and vanishing zero momentum gluon
propagator. We discuss how the Gribov-Zwanziger action naturally leads to the
existence of vacuum condensates of dimension two. As it is very common, such
condensates can seriously alter the dynamics. In particular, the
Gribov-Zwanziger condensates give rise to a gluon propagator with a finite but
nonvanishing zero momentum limit, and reconstitute a nonenhanced ghost. We call
this the refined Gribov-Zwanziger framework. The predictions are in qualitative
agreement with most recent lattice simulations, and certain solutions of the
Schwinger-Dyson equations. A crucial feature of the Gribov-Zwanziger framework
is the soft (controllable) breaking of the BRST symmetry. We also point out
that imposing the Kugo-Ojima confinement criterion on the Faddeev-Popov theory
as a boundary condition from the beginning leads to the same partition function
as of Gribov-Zwanziger, with associated BRST symmetry breaking. This clouds the
interpretation of the Kugo-Ojima criterion in se.

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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: supr-con
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: q-alg
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The categories of this paper are: math
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The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: chem-ph
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The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th