Weakly coupled conformal gauge theories on the lattice

TL;DR

This paper investigates the beta-function of weakly coupled conformal gauge theories on the lattice, specifically SU(3) with Nf=14 and Nf=3 fermions, testing lattice methods near the conformal window's upper end.

Contribution

It provides lattice results for the beta-function in weakly coupled conformal theories and assesses the performance of lattice methods in these regimes.

Findings

Beta-function results consistent with perturbation theory

Lattice methods effectively probe near-conformal regimes

Comments on higher-loop beta-function predictions

Abstract

Results are reported for the beta-function of weakly coupled conformal gauge theories on the lattice, SU(3) with Nf=14 fundamental and Nf=3 sextet fermions. The models are chosen to be close to the upper end of the conformal window where perturbation theory is reliable hence a fixed point is expected. The study serves as a test of how well lattice methods perform in the weakly coupled conformal cases. We also comment on the 5-loop beta-function of two models close to the lower end of the conformal window, SU(3) with Nf=12 fundamental and Nf=2 sextet fermions.