Mass anomalous dimension in SU(2) with six fundamental fermions

TL;DR

This paper investigates the SU(2) gauge theory with six fundamental fermions, measuring the running coupling and mass anomalous dimension, and finds evidence of very slow running and a range of gamma values near an IR fixed point.

Contribution

It provides the first lattice measurement of the mass anomalous dimension in SU(2) with six fermions, indicating near-conformal behavior.

Findings

Very slow running of the coupling constant

Mass anomalous dimension gamma between 0.135 and 1.03

Evidence consistent with an IR fixed point

Abstract

We simulate SU(2) gauge theory with six massless fundamental Dirac fermions. We measure the running of the coupling and the mass in the Schroedinger Functional scheme. We observe very slow running of the coupling constant. We measure the mass anomalous dimension gamma, and find it is between 0.135 and 1.03 in the range of couplings consistent with the existence of an IR fixed point.