Properties and uses of the Wilson flow in lattice QCD

By M. Luscher. 2010

377 citations recorded by the source corpus.

Theoretical and numerical studies of the Wilson flow in lattice QCD suggest that the gauge field obtained at flow time t > 0 is a smooth renormalized field. The expectation values of local gauge-invariant expressions in this field are thus well-defined physical quantities that probe the theory at length scales on the order of $ \sqrt {t} $. Moreover, by transforming the QCD functional integral to an integral over the gauge field at a specified flow time, the emergence of the topological (instanton) sectors in the continuum limit becomes transparent and is seen to be caused by a dynamical effect that rapidly separates the sectors when the lattice spacing is reduced from 0.1fm to smaller values.

Subfields: Condensed Matter Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/7e449edf3b40b39d37197b183d9df70bd8771de7

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Condensed Matter Physics

In Nuclear and High Energy Physics

Citations in the corpus

FLAG Review 2019 (2019, methodology): “Its expectation value is used to define the reference scale t0 through the implicit equation [271] { t〈E(t)〉 } t=t0 = 0.”
A Guide to Light-Cone PDFs from Lattice QCD: An Overview of Approaches, Techniques, and Results (2018, background): “[197] Martin Lüscher, “Properties and uses of the Wilson flow in lattice QCD,” JHEP 08, 071 (2010), [Erratum: JHEP03,092(2014)], arXiv:1006.”
Leading hadronic contribution to the muon magnetic moment from lattice QCD (2020, methodology): “with a comparable precision (see [7] for a recent review).”