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Lattice study for conformal windows of SU(2) and SU(3) gauge theories with fundamental fermions

2015/11/06 by Cynthia Yu-Han Huang, Issaku Kanamori, Huang, Cynthia Y. -H. +11
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies #Quantum Chromodynamics and Particle Interactions

paper · pdf · doi:10.48550/arxiv.1511.01968

openalex publication_date 2015/11/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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, β\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 GF2 \lesssim 6.

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