Abstract
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.
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Lüscher, M. Properties and uses of the Wilson flow in lattice QCD. J. High Energ. Phys. 2010, 71 (2010). https://doi.org/10.1007/JHEP08(2010)071
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DOI: https://doi.org/10.1007/JHEP08(2010)071