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Gluon condensates and effective gluon mass

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arxiv 2201.09747 v1 pith:VCXD7XTC submitted 2022-01-24 hep-ph hep-th

classification hep-phhep-th
keywords gluoncondensateseffectivemasscolordynamicalgrouplattice
verification ladder T0 review T1 audit T2 compute T3 formal
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Lattice simulations along with studies in continuum QCD indicate that non-perturbative quantum fluctuations lead to an infrared regularisation of the gluon propagator in covariant gauges in the form of an effective mass-like behaviour. In the present work we propose an analytic understanding of this phenomenon in terms of gluon condensation through a dynamical version of the Higgs mechanism, leading to the emergence of color condensates. Within the functional renormalisation group approach we compute the effective potential of covariantly constant field strengths, whose non-trivial minimum is related to the color condensates. In the physical case of an SU(3) gauge group this is an octet condensate. The value of the gluon mass obtained through this procedure compares very well to lattice results and the mass gap arising from alternative dynamical scenarios.

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Cited by 2 Pith papers

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  1. Gauge-Fermion Cartography: from confinement and chiral symmetry breaking to conformality

    hep-th 2024-12 conditional novelty 7.0 of 10

    A non-perturbative fRG calculation charts confinement and chiral symmetry breaking across flavour number and predicts the conformal window boundary at Nf = 9.60 for Nc = 3.

  2. Gluon mass scale through the Schwinger mechanism

    hep-ph 2025-01 conditional novelty 2.0 of 10

    A comprehensive review showing how massless composite poles in QCD vertices can generate the gluon mass scale, with a BSE-based computation reaching m=367 MeV against the 354 MeV lattice value.

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