Exploring the conformal window: SU(2) gauge theory on the lattice

TL;DR

This paper investigates the phase diagram of SU(2) gauge theory with varying fermion flavors on the lattice, providing evidence for an infrared fixed point at ten flavors and suggestive results at six flavors.

Contribution

It offers new lattice simulation data exploring the conformal window of SU(2) gauge theories with different fermion counts, especially identifying an infrared fixed point at ten flavors.

Findings

Evidence for an infrared fixed point at ten flavors

Behavior compatible with a stable fixed point at six flavors

Large uncertainties prevent definitive conclusions at six flavors

Abstract

We study the SU(2) gauge theory on the lattice with different numbers of fermions in the fundamental representation of the gauge group to explore the gauge theory phase diagram. We find evidence for an infrared fixed point for ten flavors. The theory with six flavors shows behaviors compatible with the existence of a (quasi) stable fixed point, but the large errors in the present data do not allow for decisive confirmation of this.