MCRG Minimal Walking Technicolor

TL;DR

This study investigates the SU(2) gauge theory with two Dirac fermions in the adjoint representation, exploring its running coupling and anomalous mass dimension to assess its potential as a near-conformal or walking technicolor model.

Contribution

It provides the first Monte Carlo renormalisation group analysis of this theory, measuring the running coupling and anomalous dimension with two different methods.

Findings

Slow running of the coupling suggests an infrared fixed point.

Anomalous dimension estimated as gamma ≈ -0.03 with systematic uncertainties.

Systematic errors significantly affect the measurement of the anomalous dimension.

Abstract

We present a Monte Carlo renormalisation group study of the SU(2) gauge theory with two Dirac fermions in the adjoint representation. Using the two-lattice matching technique we measure the running of the coupling and the anomalous mass dimension. We find slow running of the coupling, compatible with an infrared fixed point. Assuming this running is negligible we find a vanishing anomalous dimension, gamma=-0.03(13), however taking this source of systematic error into account gives a much larger range of allowed values, -0.6 < gamma < 0.6. We also attempt to measure the anomalous mass dimension using the stability matrix method. We discuss the systematic errors affecting the current analysis and possible improvements.