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A non-perturbative study of matter field propagators in Euclidean Yang-Mills theory in linear covariant, Curci-Ferrari and maximal Abelian gauges

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arxiv 1703.03264 v2 pith:KI54LSD2 submitted 2017-03-09 hep-th hep-lathep-ph

classification hep-thhep-lathep-ph
keywords gribov-zwanzigermatterpropagatorstheoryabeliancovariantcurci-ferrarifields
verification ladder T0 review T1 audit T2 compute T3 formal
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In this work, we study the propagators of matter fields within the framework of the Refined Gribov-Zwanziger theory, which takes into account the effects of the Gribov copies in the gauge-fixing quantization procedure of Yang-Mills theory. In full analogy with the pure gluon sector of the Refined Gribov-Zwanziger action, a non-local long-range term in the inverse of the Faddeev-Popov operator is added in the matter sector. Making use of the recent BRST invariant formulation of the Gribov-Zwanziger framework achieved in [Capri et al 2016], the propagators of scalar and quark fields in the adjoint and fundamental representations of the gauge group are worked out explicitly in the linear covariant, Curci-Ferrari and maximal Abelian gauges. Whenever lattice data are available, our results exhibit good qualitative agreement.

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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. 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.

  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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