Hyperscaling relations in mass-deformed conformal gauge theories - High Energy Physics - PhenomenologyReport as inadecuate




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Abstract: We present a number of analytical results which should guide theinterpretation of lattice data in theories with an infra-red fixed point IRFPdeformed by a mass term deltaL = - m \bar qq. From renormalization group RGarguments we obtain the leading scaling exponent, F ~ m^eta F, for all decayconstants of the lowest lying states other than the ones affected by the chiralanomaly and the tensor ones. These scaling relations provide a clear cut way todistinguish a theory with an IRFP from a confining theory with heavy fermions.Moreover, we present a derivation relating the scaling of <\bar qq> \simm^eta qq to the scaling of the density of eigenvalues of the massless Diracoperator rholambda ~ lambda^eta qq RG arguments yield eta qq =3-gamma*-1+\gamma*$ as a function of the mass anomalous dimension gamma* atthe IRFP. The arguments can be generalized to other condensates such as ~m^4-1+gamma*. We describe a heuristic derivation of the result on thecondensates, which provides interesting connections between differentapproaches. Our results are compared with existing data from numerical studiesof SU2 with two adjoint Dirac fermions.



Author: Luigi Del Debbio, Roman Zwicky

Source: https://arxiv.org/







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