https://doi.org/10.1051/epjconf/201817508028
Weakly coupled conformal gauge theories on the lattice
1
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: nogradi@bodri.elte.hu
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
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (http://creativecommons.org/licenses/by/4.0/).
