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Towards background field independence within the Gribov horizon

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arxiv 2206.04103 v1 pith:CC737VMF submitted 2022-06-08 hep-th

Towards background field independence within the Gribov horizon

Igor F. Justo , Antonio D. Pereira , Rodrigo F. Sobreiro This is my paper
classification hep-th
keywords backgroundgaugegribovbrstcopiescovariantdependencegauges
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We introduce a background gauge akin to the Landau-DeWitt gauge but deformed by the presence of a gauge parameter for the quantization of Euclidean Yang-Mills theories. In the limit where the background field vanishes, standard linear covariant gauges are recovered. This gauge allows for an explicit investigation of the effects of infinitesimal Gribov copies and their impact to background and gauge parameter dependence of physical correlators. Similarly to linear covariant gauges, the introduction of gauge-invariant dressed fields is essential to restore BRST symmetry. Hence, we construct a BRST symmetric action in linear covariant background gauges which eliminates regular infinitesimal Gribov copies in analogy to the recently introduced BRST invariant (refined) Gribov-Zwanziger action. The issue of background dependence and its relation to gauge parameter dependence is discussed in the light of non-perturbative effects driven by the elimination of Gribov copies.

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Cited by 2 Pith papers

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

  1. Birman-Schwinger Formulation of the Faddeev-Popov Zero-Mode Problem

    hep-th 2026-07 conditional novelty 6.0

    The first Gribov horizon of a transverse gauge background equals the first appearance of −1 in the spectrum of a normalized Birman-Schwinger operator, via an inertia-preserving congruence rather than a similarity.

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

    hep-th 2026-07 accept novelty 6.0

    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.