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arXiv · 1108.3794

MCRG Minimal Walking Technicolor

Simon Catterall·Luigi Del Debbio·Joel Giedt·Liam Keegan
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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.

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Simon Catterall, Luigi Del Debbio, Joel Giedt, Liam Keegan. 2011-08-18. MCRG Minimal Walking Technicolor. https://doi.org/10.1103/physrevd.85.094501

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