Weakly coupled conformal gauge theories on the lattice

Abstract

Results are reported for the beta-function of weakly coupled conformal gauge theories on the lattice, SU(3) with Nf=14 fundamental and Nf=3 sextet fermions. The models are chosen to be close to the upper end of the conformal window where perturbation theory is reliable hence a fixed point is expected. The study serves as a test of how well lattice methods perform in the weakly coupled conformal cases. We also comment on the 5-loop beta-function of two models close to the lower end of the conformal window, SU(3) with Nf=12 fundamental and Nf=2 sextet fermions.

8 pages, 20 figures, Proceedings of the 35th International Symposium on Lattice Field Theory, 18-24 June 2017, Granada, Spain

References in corpus (8)

• Five-Loop Running of the QCD coupling constant
• The five-loop beta function of Yang-Mills theory with fermions
• The lattice gradient flow at tree-level and its improvement
• Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group
• Improving the continuum limit of gradient flow step scaling
• Strong dynamics, composite Higgs and the conformal window
• The SU(3) Sextet Model with Wilson Fermions
• Sextet Model with Wilson Fermions