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The large-mass regime of confining but nearly conformal gauge theories

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arxiv 1810.05353 v1 pith:U532DW6L submitted 2018-10-12 hep-lat

The large-mass regime of confining but nearly conformal gauge theories

classification hep-lat
keywords theoryconformalgaugeregimeeffectivelarge-massmasstheories
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We apply a recently developed dilaton-pion effective field theory for asymptotically free gauge theories near the conformal window to the $SU(3)$ gauge theory with $N_f=8$ fermions in the fundamental representation. Numerical data for this theory suggest the existence of a large-mass regime, where the fermion mass is not small but nevertheless the effective theory is applicable because of the parametric proximity of the conformal window. In this regime, we find that the mass dependence of hadronic quantities is similar to that of a a mass-deformed conformal theory, so that distinguishing infrared conformality from confinement requires the study of subleading effects.

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