2010/06/30 by Martin Lüscher · 3 citations
Physics and Astronomy · #hep-lat #hep-th
paper · pdf · doi:10.1007/jhep08(2010)071
published as JHEP 1008:071,2010 · Plain TeX source, 21 pages, 4 figures. Corrected figure 2, figure 3 and the quoted values of t0/a^2 in table 1, following the discovery of a bug in the analysis programs (thanks to Yoshifumi Nakamura)
arxiv created 2014/01/27 · arxiv updated 2014/01/28
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 0.1 fm to smaller values.