Anomalous mass dimension of multi-flavor QCD

TL;DR

This paper investigates the anomalous mass dimension in multi-flavor QCD models with potential conformal fixed points, exploring bounds and effects of four-fermion interactions relevant to dynamical electroweak symmetry breaking.

Contribution

It analyzes the anomalous mass dimension in multi-flavor QCD near non-trivial fixed points, considering the influence of four-fermion interactions, which advances understanding of conformal dynamics in these models.

Findings

Identifies values of $\, ext{γ}_m$ at non-trivial fixed points.

Discusses the impact of four-fermion interactions on $\, ext{γ}_m$.

Provides insights into bounds on anomalous dimensions in conformal regions.

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.