The β-function of SU(3) gauge theory with N_f = 10 massless fermions in the fundamental representation

2016/03/29 by Ting-Wai Chiu, Chiu, Ting-Wai
Physics and Astronomy · #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.1603.08854

Abstract

We present the first study of the discrete β-function of the SU(3) gauge theory with 10 massless domain-wall fermions in the fundamental representation. The renormalized coupling is obtained by the finite-volume gradient flow scheme, and the discrete β-function is extrapolated to the continuum limit by the step-scaling method. Our result of the discrete β-function (with s = 2 ) suggests that this theory possesses an infrared fixed point around g_c² ∼ 7.0 for c = √(8t)/L = 0.3 .

Related

• Infrared fixed point of the SU(3) gauge theory with N_f = 10 flavors
• Nonperturbative determination of β functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions
• Case studies of near-conformal β-functions
• From ten-flavor tests of the β-function to α_s at the Z-pole
• Continuous β function for the SU(3) gauge systems with two and twelve fundamental flavors