Systematic Errors of the MCRG Method
Simon Catterall, Luigi Del Debbio, Joel Giedt, Liam Keegan
TL;DR
This study uses Monte Carlo Renormalisation Group techniques to investigate the SU(2) gauge theory with two adjoint fermions, finding slow coupling running and large uncertainties in the anomalous dimension due to systematic errors.
Contribution
It provides a detailed analysis of systematic errors in MCRG measurements of the coupling and anomalous dimension in SU(2) gauge theory with adjoint fermions.
Findings
Slow running of the coupling compatible with an infrared fixed point
Anomalous dimension estimated as gamma=-0.03(13) under certain assumptions
Large uncertainty in gamma due to systematic errors in the analysis
Abstract
We present a Monte Carlo Renormalisation Group (MCRG) 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 without this assumption our uncertainty in the running of the coupling leads to a much larger range of allowed values, -0.6 < gamma < 0.6. We discuss the systematic errors affecting the current analysis and possible improvements.
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Taxonomy
TopicsQuantum Chromodynamics and Particle Interactions · Particle physics theoretical and experimental studies · Advanced NMR Techniques and Applications