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The universal character of Zwanziger's horizon function in Euclidean Yang-Mills theories

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arxiv 1802.04582 v2 pith:DIC5X7MW submitted 2018-02-13 hep-th hep-lat

M.A.L. Capri , D. Dudal , M.S. Guimaraes , A.D. Pereira , B.W. Mintz , L.F. Palhares , S.P. Sorella This is my paper · ORCID
classification hep-thhep-lat
keywords gaugebrstinvariantfunctionhorizonzwanzigercharacterclass
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abstract

In light of the recently established BRST invariant formulation of the Gribov-Zwanziger theory, we show that Zwanziger's horizon function displays a universal character. More precisely, the correlation functions of local BRST invariant operators evaluated with the Yang-Mills action supplemented with a BRST invariant version of the Zwanziger's horizon function and quantized in an arbitrary class of covariant, color invariant and renormalizable gauges which reduce to the Landau gauge when all gauge parameters are set to zero, have a unique, gauge parameters independent result, corresponding to that of the Landau gauge when the restriction to the Gribov region $\Omega$ in the latter gauge is imposed. As such, thanks to the BRST invariance, the cut-off at the Gribov region $\Omega$ acquires a gauge independent meaning in the class of the physical correlators.

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Cited by 4 Pith papers

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

    hep-th 2026-07 conditional novelty 6.0 of 10

    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 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. 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.

  4. Finiteness of the Yang-Mills-Chern-Simons action in linear covariant gauges by taking into account gauge copies

    hep-th 2025-02 conditional novelty 5.0 of 10

    Adding Gribov-copy removal and condensates to three-dimensional Yang-Mills-Chern-Simons theory in linear covariant gauges leaves the theory finite at all orders.

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