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arxiv: 1611.03523 · v1 · submitted 2016-11-10 · ⚛️ nucl-th · hep-lat· hep-ph

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Scale-setting, flavour dependence and chiral symmetry restoration

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classification ⚛️ nucl-th hep-lathep-ph
keywords interactionactivechiraldependenceflavourrunningsymmetryabove
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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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