4.7 Article

Monte Carlo renormalization group minimal walking technicolor

Journal

PHYSICAL REVIEW D
Volume 85, Issue 9, Pages -

Publisher

AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.85.094501

Keywords

-

Funding

  1. Department of Energy, Office of Science, Office of High Energy Physics [DE-FG02-08ER41575]
  2. Department of Energy [DE-FG02-85ER40237]
  3. STFC [ST/I506861/1, ST/J000329/1] Funding Source: UKRI
  4. Science and Technology Facilities Council [ST/I506861/1, ST/J000329/1] Funding Source: researchfish

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We present a Monte Carlo renormalization 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 without this assumption our uncertainty in the running of the coupling leads to a much larger range of allowed values, -0.6 less than or similar to gamma less than or similar to 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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