English

MCRG Minimal Walking Technicolor

High Energy Physics - Phenomenology 2013-05-30 v1 High Energy Physics - Lattice

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.

Keywords

Cite

@article{arxiv.1108.3794,
  title  = {MCRG Minimal Walking Technicolor},
  author = {Simon Catterall and Luigi Del Debbio and Joel Giedt and Liam Keegan},
  journal= {arXiv preprint arXiv:1108.3794},
  year   = {2013}
}

Comments

30 pages, 30 figures

R2 v1 2026-06-21T18:52:31.867Z