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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 2 Pith papers

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

  1. 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.

  2. 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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