Topological susceptibility of QCD with dynamical Möbius domain wall fermions

Abstract

We compute the topological susceptibility ${\chi }_t$ of lattice QCD with $2+1$ dynamical quark flavors described by the Möbius domain wall fermion. Violation of chiral symmetry as measured by the residual mass is kept at $\sim$1 MeV or smaller. We measure the fluctuation of the topological charge density in a `slab' sub-volume of the simulated lattice using the method proposed by Bietenholz {\it et al.} The quark mass dependence of ${\chi }_t$ is consistent with the prediction of chiral perturbation theory, from which the chiral condensate is extracted as $Σ^{\overline{\rm MS}} (\mbox{2GeV}) = [274(13)(29)\mbox{MeV}]^3$, where the first error is statistical and the second one is systematic. Combining the results for the pion mass $M_{\pi }$ and decay constant $F_{\pi }$, we obtain ${\chi }_t=0.229(03)(13)M_{\pi }^2{F}_{\pi }^2$ at the physical point.

23pages, 10figures, metadata abstract corrected

References in corpus (10)

• The QCD axion, precisely
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• High-precision scale setting in lattice QCD
• Critical slowing down and error analysis in lattice QCD simulations
• Continuum Limit Physics from 2+1 Flavor Domain Wall QCD
• Finite volume QCD at fixed topological charge
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry
• Renormalization of domain-wall bilinear operators with short-distance current correlators
• Interpreting Numerical Measurements in Fixed Topological Sectors

Cited by in corpus (12)

• FLAG Review 2019
• FLAG Review 2021
• Dark Matter from Strong Dynamics: The Minimal Theory of Dark Baryons
• Semileptonic tau decays beyond the Standard Model
• Form factors of $B\to \pi \ell \nu$ and a determination of $|V_{ub}|$ with Möbius domain-wall-fermions
• The Myriad Uses of Instantons
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Portal Effective Theories: A framework for the model independent description of light hidden sector interactions
• Dislocations under gradient flow and their effect on the renormalized coupling
• Spectral sum of current correlators from lattice QCD
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants