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.

arXiv comment22 pages, 7 figures; References added, minor clarifications in the text, results unchanged

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Cited by in corpus (46)

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• Axion phenomenology and $\theta$-dependence from $N_f=2+1$ lattice QCD
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• Confirming the Existence of the strong CP Problem in Lattice QCD with the Gradient Flow
• The electric dipole moment of the neutron from 2+1 flavor lattice QCD
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Topology in full QCD at high temperature: a multicanonical approach
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Topological charge using cooling and the gradient flow
• Non-perturbative improvement of the axial current in N_f=3 lattice QCD with Wilson fermions and tree-level improved gauge action
• 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
• ${\eta }^{\prime }$ meson mass from topological charge density correlator in QCD
• The nucleon electric dipole moment with the gradient flow: the $\theta$-term contribution
• Spectral density of the Dirac operator in two-flavour QCD
• Cumulants of the QCD topological charge distribution
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Uncertainty Quantification in Lattice QCD Calculations for Nuclear Physics
• Correlation and localization properties of topological charge density and the pseudoscalar glueball mass in SU(3) lattice Yang-Mills theory
• The Large $N_c$ limit of QCD on the lattice
• How perturbative are heavy sea quarks?
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• SU(3) Yang Mills theory at small distances and fine lattices
• Topological susceptibility of QCD with dynamical Möbius domain wall fermions
• Background field method in the gradient flow
• Topological susceptibility in QCD with two flavors and 3-5 colors -- a pilot study
• Frontiers of finite temperature lattice QCD
• A multilevel algorithm for flow observables in gauge theories
• Electric Dipole Moment Results from lattice QCD
• Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD
• Topological susceptibility in 2+1-flavor QCD with chiral fermions
• Dislocations under gradient flow and their effect on the renormalized coupling
• Topological Susceptibility of the 2d O(3) Model under Gradient Flow
• Flavor-singlet spectrum in multi-flavor QCD
• Open-Boundary Conditions in the Deconfined Phase
• Fighting topological freezing in the two-dimensional CP${}^{N-1}$ model
• Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
• Gradient Flow: Perturbative and Non-Perturbative Renormalization
• The large $N$ limit of the topological susceptibility of Yang-Mills gauge theory
• The ${\eta }^{\prime }$ meson at the physical point with $N_f=2$ Wilson twisted mass fermions
• Axial U(1) symmetry and mesonic correlators at high temperature in $N_f=2$ lattice QCD
• Lattice QCD with 2+1 Flavors and Open Boundaries: First Results of the Baryon Spectrum
• Repercussions of the Peccei-Quinn axion on QCD
• The Leutwyler-Smilga relation on the lattice
• Extracting the ${\eta }^{\prime }$ meson mass from gluonic correlators in lattice QCD
• A Fluctuation Theory of Topological Susceptibility