IR fixed points in SU(3) gauge theories

Article history: Received 10 March 2015 Received in revised form 6 June 2015 Accepted 10 July 2015 Available online 14 July 2015 Editor: J. Hisano We propose a novel RG method to specify the location of the IR fixed point in lattice gauge theories and apply it to the SU(3) gauge theories with N f fundamental fermions. It is based on the scaling behavior of the propagator through the RG analysis with a finite IR cutoff, which we cannot remove in the conformal field theories in sharp contrast to the confining theories. The method also enables us to estimate the anomalous mass dimension in the continuum limit at the IR fixed point. We perform the program for N f = 16, 12, 8 and N f = 7 and indeed identify the location of the IR fixed points in all cases. © 2015 The Authors. Published by Elsevier B.V. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/). Funded by SCOAP3.