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The BRST-invariant vacuum state of the Gribov-Zwanziger theory

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arxiv 1901.11264 v1 pith:FXLWPPVE submitted 2019-01-31 hep-th hep-lathep-ph

D. Dudal , C. P. Felix , L. F. Palhares , F. Rondeau , D. Vercauteren This is my paper · ORCID
classification hep-thhep-lathep-ph
keywords gribov-zwanzigerbrst-invarianteffectivetemperaturetheoryvacuumaccountaction
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We revisit the effective action of the Gribov-Zwanziger theory, taking into due account the BRST symmetry and renormalization (group invariance) of the construction. We compute at one loop the effective potential, showing the emergence of BRST-invariant dimension 2 condensates stabilizing the vacuum. This paper sets the stage at zero temperature, and clears the way to studying the Gribov-Zwanziger gap equations, and particularly the horizon condition, at finite temperature in future work.

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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. 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. 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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