Testing Fermion Universality at a Conformal Fixed Point

Abstract

Universality of various fermion formulations is well established in QCD-like theories defined around the perturbative $g^2=0$ fixed point. These arguments do not apply for conformal systems that exhibit an infrared fixed point at non-vanishing $g^2$ coupling. We investigate the step scaling function for systems with 10 or 12 fundamental flavors using domain wall fermions and compare it to perturbative predictions. We test universality by contrasting our findings to results published in the literature based on staggered fermions.

Talk given at the 35th International Symposium on Lattice Field Theory, 18 - 24 June 2017, Granada, Spain ; 8 pages

References in corpus (1)

• Symanzik improvement of the gradient flow in lattice gauge theories

Cited by in corpus (6)

• The Conformal Bootstrap: Theory, Numerical Techniques, and Applications
• Gradient flow step-scaling function for SU(3) with twelve flavors
• On the Critical Flavor Number in the 2+1$d$ Thirring Model
• Gradient flow step-scaling function for SU(3) with ten fundamental flavors
• Magnetic catalysis in the (2+1)-dimensional Gross-Neveu model
• Nonminimal gradient flows in QCD-like theories