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A local and BRST-invariant Yang-Mills theory within the Gribov horizon

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arxiv 1605.02610 v1 pith:3INK43CP submitted 2016-05-09 hep-th hep-lathep-ph

M. A. L. Capri , D. Dudal , D. Fiorentini , M. S. Guimaraes , I. F. Justo , A. D. Pereira , B. W. Mintz , L. F. Palhares
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R. F. Sobreiro S. P. Sorella
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classification hep-thhep-lathep-ph
keywords localbrst-invariantcovariantgaugesgribovlinearyang-millsaccount
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We present a local setup for the recently introduced BRST-invariant formulation of Yang-Mills theories for linear covariant gauges that takes into account the existence of gauge copies \`a la Gribov and Zwanziger. Through the convenient use of auxiliary fields, including one of the Stueckelberg type, it is shown that both the action and the associated nilpotent BRST operator can be put in local form. Direct consequences of this fully local and BRST-symmetric framework are drawn from its Ward identities: (i) an exact prediction for the longitudinal part of the gluon propagator in linear covariant gauges that is compatible with recent lattice results and (ii) a proof of the gauge-parameter independence of all correlation functions of local BRST-invariant operators.

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Cited by 5 Pith papers

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

  1. Schwinger-Keldysh Path Integral for Gauge theories

    hep-th 2026-04 unverdicted novelty 7.0 of 10

    Constructs a manifestly diagonal-BRST-invariant Schwinger-Keldysh path integral for open non-Abelian gauge theories with arbitrary physical initial states, yielding Ward-Takahashi-Slavnov-Taylor identities and a Keldy...

  2. 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.

  3. 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.

  4. 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.

  5. A regulated zero-temperature construction of the Fundamental Modular Region in pure Yang--Mills theory and QCD

    hep-th 2026-07 conditional novelty 4.0 of 10

    The Fundamental Modular Region is reformulated as the β→∞ limit of a Gibbs measure over Gribov copies, with O(1/β) convergence controlled by the inverse Faddeev–Popov operator.

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