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A study of the zero modes of the Faddeev-Popov operator in Euclidean Yang-Mills theories in the Landau gauge in d=2,3,4 dimensions

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arxiv 1201.2445 v2 pith:HQHFKI2M submitted 2012-01-12 hep-th hep-lathep-ph

M. A. L. Capri , M. S. Guimaraes , S. P. Sorella , D. G. Tedesco This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords dimensionseuclideanfaddeev-popovgaugelandaumodesoperatortheories
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Examples of normalizable zero modes of the Faddeev-Popov operator in SU(2) Euclidean Yang-Mills theories in the Landau gauge are constructed in d=2,3,4 dimensions.

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Cited by 3 Pith papers

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

  1. Blind Spots of the Zwanziger Horizon Function

    hep-lat 2026-08 conditional novelty 6.0 of 10

    For radial SU(2) hedgehog backgrounds, the first Faddeev-Popov zero mode can be orthogonal to the source in Zwanziger's horizon function, making the first Gribov-horizon crossing source-dark.

  2. Some Remarks on the Spectral Geometry of the Gribov Horizon

    hep-th 2026-07 accept novelty 6.0 of 10

    For the SU(2) hedgehog with h=9gr/(r^3+1)^2, the reduced Faddeev-Popov operator is positive exactly for -2<g<1, with normalizable threshold zero modes at both endpoints.

  3. On the consistency of Lorentz-Violating Yang-Mills theories: Gauge invariance and non-perturbative effects

    hep-th 2024-11 conditional novelty 6.0 of 10

    A gauge-invariant massive extension of Lorentz-violating Yang-Mills theory is constructed, along with a BRST-invariant refined Gribov-Zwanziger action and its tree-level propagator.

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