Future applications of the Yang-Mills gradient flow in lattice QCD

Abstract

The Yang--Mills gradient flow has many interesting applications in lattice QCD. In this talk, some recent and possible future uses of the flow are discussed, emphasizing the underlying theoretical concepts rather than any computational aspects.

Plenary talk, 31st International Symposium on Lattice Field Theory, July 29 - August 3, 2013, Mainz, Germany; LaTeX source, 12 pages, 4 figures

References in corpus (3)

• Studying the gradient flow coupling in the Schrödinger functional
• Space-time symmetries and the Yang-Mills gradient flow
• The gradient flow in a twisted box

Cited by in corpus (29)

• SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
• Nonperturbative beta function of twelve-flavor SU(3) gauge theory
• Topological charge using cooling and the gradient flow
• Exploring Nf=2+1 QCD thermodynamics from the gradient flow
• Nonperturbative beta function of eight-flavor SU(3) gauge theory
• Exceptional thermodynamics: The equation of state of G(2) gauge theory
• Renormalizability of the gradient flow in the 2D $O(N)$ non-linear sigma model
• Small flow-time representation of fermion bilinear operators
• Results and techniques for higher order calculations within the gradient-flow formalism
• Gradient Flow of O(N) nonlinear sigma model at large N
• Short flow-time coefficients of CP-violating operators
• Color dependence of the topological susceptibility in Yang-Mills theories
• Proof of the renormalizability of the gradient flow
• The renormalization group step scaling function of the 2-flavor SU(3) sextet model
• Determination of Reference Scales for Wilson Gauge Action from Yang--Mills Gradient Flow
• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
• Scale setting in lattice QCD
• On Finiteness of 2- and 3-point Functions and the Renormalisation Group
• On the $N_f$-dependence of gluonic observables
• Measurement of thermodynamics using gradient flow
• Encoding field theories into gravities
• Thermodynamics and reference scale of SU(3) gauge theory from gradient flow on fine lattices
• Renormalization of CP-Violating Pure Gauge Operators in Perturbative QCD Using the Gradient Flow
• Equation of state in (2+1)-flavor QCD at physical point with improved Wilson fermion action using gradient flow
• Lattice gradient flow with tree-level $\mathcal{O}(a^4)$ improvement in pure Yang-Mills theory
• On the chiral anomaly and the Yang-Mills gradient flow
• Flavor Physics and Lattice QCD
• Perturbative O($a^2$) effects in gradient flow couplings with SF and SF-open boundary conditions
• Flow equation for the large $N$ scalar model and induced geometries