The Yang-Mills gradient flow and renormalization

Abstract

In this proceedings contribution we will review the main ideas behind the many recent works that apply the gradient flow to the determination of the renormalized coupling and the renormalization of composite operators. We will pay special attention to the continuum extrapolation of flow quantities.

17 pages. Proceedings of the 32nd International Symposium on Lattice Field Theory

References in corpus (20)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Trivializing maps, the Wilson flow and the HMC algorithm
• Critical slowing down and error analysis in lattice QCD simulations
• Chirally improving Wilson fermions
• The gradient flow coupling in the Schrödinger Functional
• Studying the gradient flow coupling in the Schrödinger functional
• The lattice gradient flow at tree-level and its improvement
• Critical slowing down of topological modes
• Space-time symmetries and the Yang-Mills gradient flow
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• The chirally rotated Schrödinger functional with Wilson fermions and automatic O(a) improvement
• The Yang-Mills gradient flow in finite volume
• Chiral Ward identities, automatic O(a) improvement and the gradient flow
• On O($a^2$) effects in gradient flow observables
• Critical slowing down and the gradient flow coupling in the Schrödinger functional
• The Gradient Flow Coupling in Minimal Walking Technicolor
• Measurement of thermodynamics using gradient flow
• The $SU(\infty )$ twisted gradient flow running coupling
• Beyond-the-Standard-Model matrix elements with the gradient flow
• SU(3) gauge theory with 12 flavours in a twisted box

Cited by in corpus (9)

• Symanzik improvement of the gradient flow in lattice gauge theories
• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• Small flow-time representation of fermion bilinear operators
• Proof of the renormalizability of the gradient flow
• Background field method in the gradient flow
• The gradient flow running coupling in SU(2) gauge theory with $N_f=8$ fundamental flavors
• Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices
• Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow
• Perturbative O($a^2$) effects in gradient flow couplings with SF and SF-open boundary conditions