IR fixed points in $SU(3)$ gauge Theories

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.

7 pages, 7 figures, 1 table: the scale of the y axis in Figs..1-4 change; minor modifications as appear in PLB

References in corpus (8)

• Accelerating Dynamical Fermion Computations using the Rational Hybrid Monte Carlo (RHMC) Algorithm with Multiple Pseudofermion Fields
• Higher-Loop Corrections to the Infrared Evolution of a Gauge Theory with Fermions
• Scale-dependent mass anomalous dimension from Dirac eigenmodes
• A precise determination of the psibar-psi anomalous dimension in conformal gauge theories
• Scale invariance vs conformal invariance
• Global Structure of Conformal Theories in the SU(3) Gauge Theory
• Conformal Theories with an IR cutoff
• Conformal Behavior in QCD

Cited by in corpus (9)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Strongly interacting dynamics and the search for new physics at the LHC
• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Large volumes and spectroscopy of walking theories
• Bootstrap bound for conformal multi-flavor QCD on lattice
• Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories
• Non-trivial Center Dominance in High Temperature QCD