Nonperturbative beta function of eight-flavor SU(3) gauge theory

Abstract

We present a new lattice study of the discrete beta function for SU(3) gauge theory with Nf=8 massless flavors of fermions in the fundamental representation. Using the gradient flow running coupling, and comparing two different nHYP-smeared staggered lattice actions, we calculate the 8-flavor step-scaling function at significantly stronger couplings than were previously accessible. Our continuum-extrapolated results for the discrete beta function show no sign of an IR fixed point up to couplings of g^2~14. At the same time, we find that the gradient flow coupling runs much more slowly than predicted by two-loop perturbation theory, reinforcing previous indications that the 8-flavor system possesses nontrivial strongly coupled IR dynamics with relevance to BSM phenomenology.

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Cited by in corpus (17)

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• Strong dynamics, composite Higgs and the conformal window
• Phase transitions in perturbative walking dynamics
• Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 Kähler-Dirac fermions
• Gradient flow step-scaling function for SU(3) with ten fundamental flavors
• Hidden Conformal Symmetry from the Lattice
• Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors
• Dislocations under gradient flow and their effect on the renormalized coupling
• Spectrum of SU(2) gauge theory at large number of flavors
• Tantalizing dilaton tests from a near-conformal EFT
• Significance of soft-scale breaking on primordial black hole production in Coleman-Weinberg type supercooling-phase transition
• Walking-dilaton hybrid inflation with $B-L$ Higgs embedded in dynamical scalegenesis
• Gravitational wave footprints from Higgs-portal scalegenesis with multiple dark chiral scalars
• Studies of Conformal Behavior in Strongly Interacting Quantum Field Theories
• A First-Quantized Model For Unparticles and Gauge Theories Around Conformal Window
• SU(2) gauge theory with one and two adjoint fermions towards the continuum limit
• Taming lattice artifacts with Pauli--Villars fields