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IR fixed points and conformal window in SU(3) gauge Theories

Nakayama, Yu (2015) IR fixed points and conformal window in SU(3) gauge Theories. In: 33rd International Symposium on Lattice Field Theory (LATTICE 2015). Proceedings of Science. No.251. SISSA , Trieste, Italy, Art. No. 218.

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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.

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Nakayama, Yu0000-0002-1747-5147
Additional Information:Copyright owned by the author(s) under the term of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. The talk was given on behalf of Prof. Y. Iwasaki. 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.
Group:Walter Burke Institute for Theoretical Physics
Series Name:Proceedings of Science
Issue or Number:251
Record Number:CaltechAUTHORS:20180828-122924400
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:89227
Deposited By: George Porter
Deposited On:29 Aug 2018 19:39
Last Modified:16 Nov 2021 00:33

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