Gradient flow step-scaling function for SU(3) with $N_f=8$ fundamental flavors

Abstract

The step-scaling function, the lattice analog of the renormalization group $\beta$ function, is presented for the SU(3) gauge system with eight flavors in the fundamental representation. Our investigation is based on generating dynamical eight flavor gauge field configurations using stout-smeared Möbius domain wall fermions and Symanzik gauge action. On these gauge field configurations we perform gradient flow measurements using the Zeuthen, Wilson, or Symanzik kernel and consider the Symanzik, Wilson plaquette, or clover operators to determine step-scaling functions for a scale change $s=2$ including large, up to $48^4$, volumes. Considering different flows and operators as well as the optional use of tree-level improvement allows us to check for possible systematic effects. Our result covers the range of renormalized coupling up to $g_c^2\lesssim 10$. In the case of $N_f=8$ we observe that the reach in $g_c^2$ is limited due to an unphysical first order bulk phase transition caused by large ultra-violet fluctuations. We compare our findings to $N_f=4$, 6, 10 or 12 flavors results that are obtained using the same lattice action and analysis. In addition we investigate the phase structure for simulations with different number of flavors using stout-smeared Möbius domain wall fermions and Symanzik gauge actions to shed some light on the limited reach in $g_c^2$.

arXiv comment16 pages, 12 figures. arXiv admin note: text overlap with arXiv:2209.14224

References in corpus (44)

• Properties and uses of the Wilson flow in lattice QCD
• Analytic Smearing of SU(3) Link Variables in Lattice QCD
• Five-Loop Running of the QCD coupling constant
• Monte Carlo errors with less errors
• Conformality Lost
• Lattice Study of the Conformal Window in QCD-like Theories
• Walking, Weak first-order transitions, and Complex CFTs
• The physics of eight flavours
• Nearly conformal gauge theories in finite volume
• Strongly interacting dynamics and the search for new physics at the LHC
• Nonperturbative investigations of SU(3) gauge theory with eight dynamical flavors
• The lattice gradient flow at tree-level and its improvement
• Symanzik improvement of the gradient flow in lattice gauge theories
• Light flavor-singlet scalars and walking signals in $N_f=8$ QCD on the lattice
• Dilaton EFT Framework For Lattice Data
• Phase structure of lattice QCD for general number of flavors
• Lattice simulations with eight flavors of domain wall fermions in SU(3) gauge theory
• Walking signals in Nf=8 QCD on the lattice
• Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\mathrm{f}}=3$ QCD
• Infrared Zero of $\beta$ and Value of ${\gamma }_m$ for an SU(3) Gauge Theory at the Five-Loop Level
• The Dilaton Potential and Lattice Data
• Composite Higgs model at a conformal fixed point
• Fate of the conformal fixed point with twelve massless fermions and SU(3) gauge group
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• The perturbative QCD gradient flow to three loops
• A Near-Conformal Composite Higgs Model
• Application of dilaton chiral perturbation theory to $N_f=8$, $\mathrm{SU}(3)$ spectral data
• The twelve-flavor $\mathbf{\beta }$-function and dilaton tests of the sextet scalar
• Mobility edge in lattice QCD
• Extended investigation of the twelve-flavor $\beta$-function
• Large scale separation and resonances within LHC range from a prototype BSM model
• Large scale separation and hadronic resonances from a new strongly interacting sector
• Anomalies and symmetric mass generation for Kaehler-Dirac fermions
• Gradient flow step-scaling function for SU(3) with twelve flavors
• Near-conformal dynamics in a chirally broken system
• Continuous renormalization group $\beta$ function from lattice simulations
• The Conformal Window of deformed CFT's in the planar limit
• 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
• Chiral Lattice Fermions From Staggered Fields
• Dislocations under gradient flow and their effect on the renormalized coupling
• Finite-temperature study of eight-flavor SU(3) gauge theory
• Gradient flow step-scaling function for SU(3) with $N_f$ = 6 or 4 fundamental flavors
• Taming lattice artifacts with Pauli--Villars fields

Cited by in corpus (3)

• Hidden Conformal Symmetry from the Lattice
• On the phase structure of extra-dimensional gauge theories with fermions
• Bulk-preventing actions for SU(N) gauge theories