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Report number HUPD-1507 ; LLNL-PROC-678652 ; arXiv:1511.01968 ; HUPD-1507 ; LLNL-PROC-678652
Title Lattice study for conformal windows of SU(2) and SU(3) gauge theories with fundamental fermions
Author(s) Huang, Cynthia Y.-H. (Taiwan, Natl. Chiao Tung U.) ; Kanamori, Issaku (Taiwan, Natl. Chiao Tung U. ; Hiroshima U.) ; Lin, C.-J. David (Taiwan, Natl. Chiao Tung U.) ; Ogawa, Kenji (Taiwan, Natl. Chiao Tung U.) ; Ohki, Hiroshi (RIKEN BNL) ; Ramos, Alberto (CERN) ; Rinaldi, Enrico (LLNL, Livermore)
Publication SISSA, 2015-10-30
Imprint 05 Nov 2015
Number of pages 7
Note Comments: 7 pages, 4 figures. Contribution to the proceedings of the 33rd International Symposium on Lattice Field Theory, July 14-18, 2015, Kobe, Japan
7 pages, 4 figures. Contribution to the proceedings of the 33rd International Symposium on Lattice Field Theory, July 14-18, 2015, Kobe, Japan
In: PoS LATTICE2015 (2016) 224
DOI 10.22323/1.251.0224
Subject category Particle Physics - Lattice
Abstract We present our investigation of SU(2) gauge theory with 8 flavours, and SU(3) gauge theory with 12 flavours. For the SU(2) case, at strong bare coupling, $\beta \lesssim 1.45$, the distribution of the lowest eigenvalue of the Dirac operator can be described by chiral random matrix theory for the Gaussian symplectic ensemble. Our preliminary result indicates that the chiral phase transition in this theory is of bulk nature. For the SU(3) theory, we use high-precision lattice data to perform the step-scaling study of the coupling, $g_{{\rm GF}}$, in the Gradient Flow scheme. We carefully examine the reliability of the continuum extrapolation in the analysis, and conclude that the scaling behaviour of this SU(3) theory is not governed by possible infrared conformality at $g_{{\rm GF}}^{2} \lesssim 6$.
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 Element opprettet 2015-11-09, sist endret 2021-05-03


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