Anomalous mass dimension of multi-flavor QCD

Abstract

Models of strongly interacting theories with a large mass anomalous dimension (${\gamma }_m$) provide an interesting possibility for the dynamical origin of the electroweak symmetry breaking. A laboratory for these models is QCD with many flavors, which may present a non-trivial fixed point associated to a conformal region. Studies based on conformal field theories and on Schwinger-Dyson equations have suggested the existence of bounds on the mass anomalous dimension at the fixed points of these models. In this note we discuss ${\gamma }_m$ values of multi-flavor QCD exhibiting a non-trivial fixed point and affected by relevant four-fermion interactions.

Comments: 12 pages, 2 tables