IR fixed points in SU(3) gauge Theories

Creators: Ishikawa, K.-I.; Iwasaki, Y.; Nakayama, Yu; Yoshie, Y.

Abstract

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 cut-off, which we cannot remove in the conformal field theories in sharp contrast with 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.

Additional Information

© 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. Open Access funded by SCOAP³ - Sponsoring Consortium for Open Access Publishing in Particle Physics. Received 10 March 2015; Received in revised form 6 June 2015; Accepted 10 July 2015; Available online 14 July 2015. The calculations were performed with HA-PACS computer at CCS, University of Tsukuba and SR16000 at KEK. We would like to thank members of CCS and KEK for their strong support for this work.

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