# The gradient flow running coupling in SU(2) gauge theory with $N_f=8$ fundamental flavors

## TL;DR

This study investigates the nonperturbative running of the coupling in SU(2) gauge theory with 8 flavors, identifying an infrared fixed point and measuring the mass anomalous dimension using lattice simulations.

## Contribution

The paper provides the first lattice determination of the IR fixed point and anomalous dimension for SU(2) with 8 flavors, using gradient flow and continuum extrapolation.

## Key findings

- Infrared fixed point at g^2=8.24(59)
- Anomalous dimension of quark mass operator approximately 0.15
- Results support the conformal nature of the theory at high coupling

## Abstract

We study the evolution of the coupling in SU(2) gauge field theory with $N_f=8$ fundamental fermion flavors on the lattice. This model is expected to have an infrared fixed point at high coupling. We use HEX-smeared Wilson-clover action, and measure the gradient flow running coupling with Dirichlet boundary conditions. Extrapolating our results to continuum, we find an infrared fixed point at $g^2=8.24(59)^{+0.97}_{-1.64}$, with statistical and systematic error estimates. We also measure the anomalous dimension of the quark mass operator, and find its value at the fixed point $\gamma \approx 0.15 \pm 0.02$.