Toward TeV Conformality

TL;DR

This paper investigates how the chiral condensate behaves in SU(3) gauge theories as the number of fermion flavors increases, providing insights into the transition from confinement to conformality.

Contribution

It offers lattice simulation results for the chiral condensate ratio across different flavor numbers, highlighting the enhancement trend near the conformal transition.

Findings

For Nf=2, results match QCD values.

At Nf=6, the condensate ratio is significantly enhanced.

The trend suggests larger enhancement approaching conformality.

Abstract

We study the chiral condensate $<\bar{\psi} \psi>$ for an SU(3) gauge theory with $N_f$ massless Dirac fermions in the fundamental representation when $N_f$ is increased from 2 to 6. For $N_f=2$, our lattice simulations of $<\bar{\psi} \psi >/F^3$, where $F$ is the Nambu-Goldstone-boson decay constant, agree with the measured QCD value. For $N_f = 6$, this ratio shows significant enhancement, presaging an even larger enhancement anticipated as $N_f$ increases further, toward the critical value for transition from confinement to infrared conformality.