Mass anomalous dimension in SU(2) with two adjoint fermions

TL;DR

This paper investigates the running of the coupling and mass in SU(2) gauge theory with two adjoint fermions, providing the first measurement of the mass anomalous dimension and discussing implications for an infrared fixed point.

Contribution

It presents the first measurement of the mass anomalous dimension in SU(2) with two adjoint fermions using the Schrödinger Functional scheme, and analyzes systematic errors affecting IRFP evidence.

Findings

Consistent coupling running with existing results.

Estimated anomalous dimension 0.05 < gamma < 0.56 at IRFP.

Discussion on systematic errors impacting IRFP evidence.

Abstract

We study SU(2) lattice gauge theory with two flavours of Dirac fermions in the adjoint representation. We measure the running of the coupling in the Schroedinger Functional (SF) scheme and find it is consistent with existing results. We discuss how systematic errors affect the evidence for an infrared fixed point (IRFP). We present the first measurement of the running of the mass in the SF scheme. The anomalous dimension of the chiral condensate, which is relevant for phenomenological applications, can be easily extracted from the running of the mass, under the assumption that the theory has an IRFP. At the current level of accuracy, we can estimate 0.05 < gamma < 0.56 at the IRFP.