Gradient flow running coupling in SU(2) Nf=6 flavors

TL;DR

This paper investigates the evolution of the coupling constant in SU(2) gauge theory with six massless fermions, using gradient flow techniques, and finds signs of an infrared fixed point at strong coupling.

Contribution

It provides preliminary non-perturbative results on the running coupling in SU(2) with six flavors using gradient flow, indicating potential conformal behavior.

Findings

Results align with perturbation theory at weak coupling

Indication of an infrared fixed point at strong coupling

Uses Schrödinger functional boundary conditions for measurement

Abstract

We present preliminary results of the running of the coupling in SU(2) gauge theory with 6 massless fundamental representation fermion flavors. We measure the coupling using the gradient flow method with Schr\"odinger functional boundary conditions. The results are consistent with the perturbation theory in the weak coupling and we see an indication of an infrared fixed point at strong coupling.