Studying the gradient flow coupling in the Schrödinger functional

Abstract

We discuss the setup and features of a new definition of the running coupling in the Schrödinger functional scheme based on the gradient flow. Its suitability for a precise continuum limit in QCD is demonstrated on a set of Nf=2 gauge field ensembles in a physical volume of L~0.4fm.

7 pages, 3 figures. Talk presented at 31st International Symposium on Lattice Field Theory, July 29 - August 3, 2013, Mainz, Germany

References in corpus (10)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Infinite N phase transitions in continuum Wilson loop operators
• Parameters of Heavy Quark Effective Theory from Nf=2 lattice QCD
• The Yang-Mills gradient flow in finite volume
• Introduction to Non-perturbative Heavy Quark Effective Theory
• The gradient flow running coupling scheme
• Non-renormalizability of the HMC algorithm
• Anisotropy tuning with the Wilson flow
• Non-perturbative QCD: renormalization, O(a)-improvement and matching to Heavy Quark Effective Theory

Cited by in corpus (86)

• FLAG Review 2019
• FLAG Review 2021
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• Lattice tests of beyond Standard Model dynamics
• The lattice gradient flow at tree-level and its improvement
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Thermodynamics of SU(3) Gauge Theory from Gradient Flow
• Symanzik improvement of the gradient flow in lattice gauge theories
• FLAG Review 2024
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Slow running of the Gradient Flow coupling from 200 MeV to 4 GeV in $N_{\mathrm{f}}=3$ QCD
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• Improving the continuum limit of gradient flow step scaling
• Step scaling and the Yang-Mills gradient flow
• Non-perturbative quark mass renormalisation and running in $N_f=3$ QCD
• Future applications of the Yang-Mills gradient flow in lattice QCD
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Multiscale Monte Carlo equilibration: Pure Yang-Mills theory
• Heavy quark diffusion coefficient with gradient flow
• The gradient flow running coupling with twisted boundary conditions
• Renormalizability of the gradient flow in the 2D $O(N)$ non-linear sigma model
• Chiral Symmetry Breaking on the Lattice
• SMD-based numerical stochastic perturbation theory
• Gradient flow step-scaling function for SU(3) with twelve flavors
• A non-perturbative exploration of the high energy regime in $N_{\text{f}}=3$ QCD
• Continuous renormalization group $\beta$ function from lattice simulations
• The gradient flow coupling at high-energy and the scale of SU(3) Yang-Mills theory
• Gradient Flow of O(N) nonlinear sigma model at large N
• Short flow-time coefficients of CP-violating operators
• Emergent strongly coupled ultraviolet fixed point in four dimensions with 8 Kähler-Dirac fermions
• Generalized Gradient Flow Equation and Its Application to Super Yang-Mills Theory
• Non-perturbative determination of the $\Lambda$-parameter in the pure SU(3) gauge theory from the twisted gradient flow coupling
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• Gradient flow step-scaling function for SU(3) with ten fundamental flavors
• Viscosity of pure-glue QCD from the lattice
• Lattice determinations of the strong coupling
• Determination of ${\alpha }_s(m_Z)$ by the non-perturbative decoupling method
• Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow
• The Yang-Mills gradient flow and SU(3) gauge theory with 12 massless fundamental fermions in a colour-twisted box
• Non-perturbative renormalization of the axial current in $N_f=3$ lattice QCD with Wilson fermions and tree-level improved gauge action
• Safety versus triviality on the lattice
• Strong coupling constant and quark masses from lattice QCD
• Past, present, and future of precision determinations of the QCD coupling from lattice QCD
• Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
• Infrared fixed point of SU(2) gauge theory with six flavors
• Light quark masses in N_f = 2+1 lattice QCD with Wilson fermions
• Distribution of Energy-Momentum Tensor around a Static Quark in the Deconfined Phase of SU(3) Yang-Mills Theory
• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
• On O($a^2$) effects in gradient flow observables
• The Yang-Mills gradient flow and renormalization
• The gradient flow running coupling in SU(2) gauge theory with $N_f=8$ fundamental flavors
• The twisted gradient flow coupling at one loop
• The gradient flow in a twisted box
• Efficient integration of gradient flow in lattice gauge theory and properties of low-storage commutator-free Lie group methods
• Critical slowing down and the gradient flow coupling in the Schrödinger functional
• The Gradient Flow Coupling in Minimal Walking Technicolor
• Nonperturbative determination of $\beta$ functions for SU(3) gauge theories with 10 and 12 fundamental flavors using domain wall fermions
• The Wilson Flow and the finite temperature phase transition
• Slope of the beta function at the fixed point of SU(2) gauge theory with six or eight flavors
• The lattice gradient flow at tree level
• Symanzik Improvement with Dynamical Charm: A 3+1 Scheme for Wilson Quarks
• Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
• The running coupling of 8 flavors and 3 colors
• The running coupling of the minimal sextet composite Higgs model
• The $SU(\infty )$ twisted gradient flow running coupling
• Static force from generalized Wilson loops on the lattice using the gradient flow
• Gradient flow and IR fixed point in SU(2) with Nf=8 flavors
• Precision Determination of ${\alpha }_s$ from Lattice QCD
• Schrödinger functional boundary conditions and improvement for N>3
• Non-perturbative decoupling of massive fermions
• The gradient flow running coupling in SU2 with 8 flavors
• Determination of the Strong Coupling Constant by the ALPHA Collaboration
• Gradient Flow: Perturbative and Non-Perturbative Renormalization
• Effective lattice action for the configurations smeared by the Wilson flow
• Controlling quark mass determinations non-perturbatively in three-flavour QCD
• Construction of lattice Möbius domain wall fermions in the Schrödinger functional scheme
• Perturbative O($a^2$) effects in gradient flow couplings with SF and SF-open boundary conditions
• Memory efficient finite volume schemes with twisted boundary conditions
• Determination of $c_{\mathrm{A}}$ in three-flavour lattice QCD with Wilson fermions and tree-level improved gauge action
• The perturbative SU(N) one-loop running coupling in the twisted gradient flow scheme
• Conformal window in SU(2) with fundamental fermions
• Non-perturbative improvement and renormalization of the axial current in N_f=3 lattice QCD
• Scale setting of SU($N$) Yang--Mills theory, topology and large-$N$ volume independence
• Determination of c_sw in N_f=3+1 Lattice QCD with massive Wilson fermions