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Properties of the Faddeev-Popov operator in the Landau gauge, matter confinement and soft BRST breaking

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arxiv 1408.3597 v1 pith:ZH3V5GNJ submitted 2014-08-15 hep-th hep-phnucl-th

M. A. L. Capri , M. S. Guimaraes , I.F. Justo , L. F. Palhares , S. P. Sorella This is my paper · ORCID
classification hep-thhep-phnucl-th
keywords matterbreakingbrstgaugefaddeev-popovlandaulatticenon-perturbative
verification ladder T0 review T1 audit T2 compute T3 formal

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In light of the development of the Gribov issue for pure Euclidean gauge theories and of the recent lattice measurement of soft breaking of the BRST invariance in Yang-Mills theories in the Landau gauge, we consider non-perturbative features in the gauge-interacting matter sector and their relation with general properties of the Faddeev-Popov operator. A signature for BRST breaking in the matter sector is proposed and a local and renormalizable framework is constructed, accommodating this signature and predicting non-perturbative matter propagators that are consistent with available lattice data for adjoint scalars and quarks.

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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. 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.

  2. Quark Propagator at one-loop in the Refined Gribov-Zwanziger framework

    hep-th 2025-05 conditional novelty 5.0 of 10

    At one loop in the Refined Gribov-Zwanziger framework, the quark mass function agrees roughly with lattice QCD after fitting the gluon propagator, but the dressing function disagrees in the infrared.

  3. 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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