Abstract
We present a measurement of the topological susceptibility in two flavor QCD. In this observable, large autocorrelations are present and also sizable cutoff effects have to be faced in the continuum extrapolation. Within the statistical accuracy of the computation, the result agrees with the expectation from leading order chiral perturbation theory.
Highlights
On our finest lattice spacing, the autocorrelation functions of E and Q2 are on top of each other and we expect the topological charge to dominate on finer lattices
We found that for the action used in the CLS simulation, the topological charge is not yet the slowest observable in the range of lattice
JHEP08(2014)150 spacings under investigation, though the rapid growth in τint indicates that on slightly finer lattices the charge would effectively freeze in typical simulations
Summary
The Wilson flow in the space of lattice gauge fields U (x, μ) is defined by the equations. The quantities defined through the flow need to be evaluated a√t a fixed, physical value of t Since it provides a smoothing of the fields over a radius r = 8t, it is natural to use the reference scale t0 introduced in the original paper [7] through t2 E(t) t=t0 = 0.3. To convert to physical units the reader may use t0 = 0.0236 fm2 [21] and t1 = 0.061 fm, both obtained for Nf = 2 from fixing the kaon decay constant and the pion mass, mπ, to experiment. Their errors are negligible for our present purposes.
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