Study of the scaling properties in SU(2) gauge theory with eight flavors

TL;DR

This study investigates the scaling properties of SU(2) gauge theory with eight flavors, exploring its potential conformal behavior through non-perturbative lattice methods and boundary condition analysis.

Contribution

It provides the first lattice-based analysis of the RG flow and conformal signals in SU(2) with 8 flavors, extending understanding of near-conformal gauge theories.

Findings

Consistent perturbative running coupling in weak coupling region

Preliminary signals of conformal behavior at strong coupling

Use of twisted boundary conditions for RG flow analysis

Abstract

We present our preliminary study of the SU(2) gauge theory with 8 flavors of fermions in fundamental representation. This theory could be a candidate of the gauge theory with conformal fixed point. By using Wilson/Polyakov loop in a finite volume with twisted boundary conditions, we study the renormalization group flow of the gauge coupling constant. Our calculation gives consistent result with the perturbative prediction of the running coupling in the weak coupling region. We investigate a possible signal for conformal behavior in the strong coupling region.