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Topological susceptibility of QCD with dynamical M\'obius domain wall fermions
- Source :
- Prog Theor Exp Phys (2018)
- Publication Year :
- 2017
-
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.<br />Comment: 23pages, 10figures, metadata abstract corrected
- Subjects :
- High Energy Physics - Lattice
Subjects
Details
- Database :
- arXiv
- Journal :
- Prog Theor Exp Phys (2018)
- Publication Type :
- Report
- Accession number :
- edsarx.1705.10906
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1093/ptep/pty041