The claim that ChPT topological susceptibility fluctuations are always non-interacting relies on a determinant that the paper's own equations show to be nonzero, and the slab sub-volume analysis contains further algebraic errors.
The Slab Method to Measure the Topological Susceptibility
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abstract
In simulations of a model with topological sectors, algorithms which proceed in small update steps tend to get stuck in one sector, especially on fine lattices. This distorts the numerical results; in particular it is not straightforward to measure the topological susceptibility chi_t. We test a method to measure chi_t even if configurations from only one sector are available. It is based on the topological charges in sub-volumes, which we denote as "slab". This enables the evaluation of chi_t, as we demonstrate with numerical results for non-linear sigma-models and for 2-flavour QCD. In the latter case, the gradient flow is applied for the smoothing of the gauge configurations, and the slab method results for chi_t are stable over a broad range of flow times.
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hep-lat 1years
2019 1verdicts
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A Fluctuation Theory of Topological Susceptibility
The claim that ChPT topological susceptibility fluctuations are always non-interacting relies on a determinant that the paper's own equations show to be nonzero, and the slab sub-volume analysis contains further algebraic errors.