Weakly coupled conformal gauge theories on the lattice
University of Wuppertal, Department of Physics, Wuppertal D-42097, Germany
2 Juelich Supercomputing Center, Forschungszentrum Juelich, Juelich D-52425, Germany
3 Eotvos University, Pazmany Peter setany 1/a, 1117 Budapest, Hungary
4 University of the Pacific, 3601 Pacific Ave, Stockton CA 95211, USA
5 University of California, San Diego, 9500 Gilman Drive, La Jolla, CA 92093, USA
6 MTA-ELTE Lendulet Lattice Gauge Theory Research Group, 1117 Budapest, Hungary
7 Universidad Autonoma, IFT UAM/CSIC and Departamento de Fisica Teorica, 28049 Madrid, Spain
* Speaker, e-mail: email@example.com
Published online: 26 March 2018
Results are reported for the β-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 β-function of two models close to the lower end of the conformal window, SU(3) with Nf = 12 fundamental and Nf = 2 sextet fermions.
© The Authors, published by EDP Sciences, 2018
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