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Topological susceptibility of QCD with dynamical M\"obius domain wall fermions

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arxiv 1705.10906 v5 pith:GZAP2X6A submitted 2017-05-31 hep-lat

classification hep-lat
keywords chiralmasstopologicaldomaindynamicallatticemboxobius
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We compute the topological susceptibility $\chi_t$ of lattice QCD with $2+1$ dynamical quark flavors described by the M\"obius 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 $\Sigma^{\overline{\rm MS}} (\mbox{2GeV}) = [274(13)(29)\mbox{MeV}]^3$, 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 $\chi_t = 0.229(03)(13)M_\pi^2F_\pi^2$ at the physical point.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants

    hep-lat 2026-03 conditional novelty 6.0 of 10

    A dynamical charm quark does not measurably change light-hadron masses or decay constants, and a clover-on-HISQ mixed action reduces O(a^2) discretization errors in the continuum limit.

  2. Lattice gradient flows (de-)stabilizing topological sectors

    hep-lat 2024-11 conditional novelty 5.0 of 10

    Iwasaki and DBW2 gradient flows keep the topological charge of SU(2) gauge configurations stable at long flow times, unlike Wilson and Symanzik flows; DBW2 quantizes the charge already near t=0.5.

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