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Scale-setting, flavour dependence and chiral symmetry restoration

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arxiv 1611.03523 v1 pith:5EFMATVV submitted 2016-11-10 nucl-th hep-lathep-ph

classification nucl-thhep-lathep-ph
keywords interactionactivechiraldependenceflavourrunningsymmetryabove
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We determine the flavour dependence of the renormalisation-group-invariant running interaction through judicious use of both unquenched Dyson-Schwinger equation and lattice results for QCD's gauge-sector two-point functions. An important step is the introduction of a physical scale setting procedure that enables a realistic expression of the effect of different numbers of active quark flavours on the interaction. Using this running interaction in concert with a well constrained class of dressed--gluon-quark vertices, we estimate the critical number of active lighter-quarks above which dynamical chiral symmetry breaking becomes impossible: $n_f^{\rm cr}\approx 9$; and hence in whose neighbourhood QCD is plausibly a conformal theory.

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Cited by 1 Pith paper

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  1. 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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