Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations

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.

22 pages, 7 figures; References added, minor clarifications in the text, results unchanged

References in corpus (4)

• Critical slowing down and error analysis in lattice QCD simulations
• Topological Lattice Actions
• Comparison of the mass preconditioned HMC and the DD-HMC algorithm for two-flavour QCD
• Non-renormalizability of the HMC algorithm

Cited by in corpus (15)

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• The topological susceptibility in the large-N limit of SU(N) Yang-Mills theory
• Fighting topological freezing in the two-dimensional CP${}^{N-1}$ model
• Spectral density of the Dirac operator in two-flavour QCD
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• The Large $N_c$ limit of QCD on the lattice
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
• Dislocations under gradient flow and their effect on the renormalized coupling
• Gradient Flow: Perturbative and Non-Perturbative Renormalization
• Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
• Axial U(1) symmetry and mesonic correlators at high temperature in $N_f=2$ lattice QCD
• The large $N$ limit of the topological susceptibility of Yang-Mills gauge theory
• Repercussions of the Peccei-Quinn axion on QCD