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The dynamical origin of the refinement of the Gribov-Zwanziger theory

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arxiv 1105.3371 v1 pith:A3UF5D6Z submitted 2011-05-17 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords gribov-zwanzigercondensatesshallaccountactiondimensionlatticerefined
verification ladder T0 review T1 audit T2 compute T3 formal
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In recent years, the Gribov-Zwanziger action was refined by taking into account certain dimension 2 condensates. In this fashion, one succeeded in bringing the gluon and the ghost propagator obtained from the GZ model in qualitative and quantitative agreement with the lattice data. In this paper, we shall elaborate further on this aspect. First, we shall show that more dimension 2 condensates can be taken into account than considered so far and, in addition, we shall give firm evidence that these condensates are in fact present by discussing the effective potential. It follows thus that the Gribov-Zwanziger action dynamically transforms itself into the refined version, thereby showing that the continuum nonperturbative Landau gauge fixing, as implemented by the Gribov-Zwanziger approach, is consistent with lattice simulations.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Charting the different phases of Yang-Mills-Chern-Simons-Higgs theories

    hep-th 2026-06 unverdicted novelty 5.0 of 10

    In 3D Yang-Mills-Chern-Simons-Higgs theory the Gribov parameter fixed via gap equation reveals a confining phase with complex poles and a deconfined phase with physical gluon excitations.

  2. A regulated zero-temperature construction of the Fundamental Modular Region in pure Yang--Mills theory and QCD

    hep-th 2026-07 conditional novelty 4.0 of 10

    The Fundamental Modular Region is reformulated as the β→∞ limit of a Gibbs measure over Gribov copies, with O(1/β) convergence controlled by the inverse Faddeev–Popov operator.

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