Proof of the renormalizability of the gradient flow

Abstract

We give an alternative perturbative proof of the renormalizability of the system defined by the gradient flow and the fermion flow in vector-like gauge theories.

arXiv comment29 pages, the final version to appear in Nuclear Physics B

References in corpus (51)

• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Trivializing maps, the Wilson flow and the HMC algorithm
• Infinite N phase transitions in continuum Wilson loop operators
• Fluctuations and correlations in high temperature QCD
• Chiral symmetry and the Yang--Mills gradient flow
• A non-perturbative estimate of the heavy quark momentum diffusion coefficient
• Strongly interacting dynamics and the search for new physics at the LHC
• Axion cosmology, lattice QCD and the dilute instanton gas
• Lattice tests of beyond Standard Model dynamics
• Symanzik improvement of the gradient flow in lattice gauge theories
• Thermodynamics of SU(3) Gauge Theory from Gradient Flow
• SU(2) Gauge Theory with Two Fundamental Flavours: a Minimal Template for Model Building
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• Energy-momentum tensor from the Yang-Mills gradient flow
• Space-time symmetries and the Yang-Mills gradient flow
• Topological charge using cooling and the gradient flow
• Composite Higgs model at a conformal fixed point
• Locally smeared operator product expansions in scalar field theory
• Future applications of the Yang-Mills gradient flow in lattice QCD
• ${\eta }^{\prime }$ meson mass from topological charge density correlator in QCD
• Nonperturbative Regulator for Chiral Gauge Theories?
• Wilson flow and scale setting from lattice QCD
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Neutron electric dipole moment using $N_f=2+1+1$ twisted mass fermions
• Multiscale Monte Carlo equilibration: Pure Yang-Mills theory
• Renormalization of the Polyakov loop with gradient flow
• Energy-momentum tensor on the lattice: non-perturbative renormalization in Yang--Mills theory
• Renormalizability of the gradient flow in the 2D $O(N)$ non-linear sigma model
• Gradient Flow of O(N) nonlinear sigma model at large N
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• Anomalous dimensions on the lattice
• An exploratory study of heavy domain wall fermions on the lattice
• Gradient Flow Coupling in the SU(2) gauge theory with two adjoint fermions
• Lattice QCD on Non-Orientable Manifolds
• Background field method in the gradient flow
• Using Wilson flow to study the SU(3) deconfinement transition
• The Yang-Mills gradient flow and renormalization
• A multilevel algorithm for flow observables in gauge theories
• (2+1)-flavor QCD Thermodynamics from the Gradient Flow
• The Wilson Flow and the finite temperature phase transition
• Measurement of thermodynamics using gradient flow
• An Improved Single-Plaquette Gauge Action
• Physical observables from boundary artifacts: scalar glueball in Yang-Mills theory
• Renormalisation of the energy-momentum tensor in scalar field theory using the Wilson flow
• Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices
• Wilson flow with naive staggered quarks
• Effective lattice action for the configurations smeared by the Wilson flow
• A novel computation of the thermodynamics of the SU(3) Yang-Mills theory
• Lattice gradient flow with tree-level $\mathcal{O}(a^4)$ improvement in pure Yang-Mills theory

Cited by in corpus (18)

• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• Small flow-time representation of fermion bilinear operators
• Gradient-flowed thermal correlators: how much flow is too much?
• Gradient flow exact renormalization group
• 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
• Energy--momentum tensor on the lattice: recent developments
• Supersymmetric gradient flow in the Wess-Zumino model
• Short-flow-time expansion of quark bilinears through next-to-next-to-leading order QCD
• Renormalon-free definition of the gluon condensate within the large-${\beta }_0$ approximation
• Gradient flow representation of the four-dimensional $\mathcal{N}=2$ super Yang--Mills supercurrent
• Nonminimal gradient flows in QCD-like theories
• A basis of the gradient flow exact renormalization group for gauge theory
• Conserved vector current in QCD-like theories and the gradient flow
• On the chiral anomaly and the Yang-Mills gradient flow
• Flow equation for the large $N$ scalar model and induced geometries
• 4D $\mathcal{N}=1$ SYM supercurrent on the lattice in terms of the gradient flow
• Gradient-flowed order parameter for spontaneous gauge symmetry breaking