Topological susceptibility of QCD with dynamical Möbius domain-wall fermions
S Aoki (Center for Gravitational Physics, Yukawa Institute for Theoretical Physics, Kyoto 606-8502, Japan); G Cossu (School of Physics and Astronomy, The University of Edinburgh, Edinburgh EH9 3JZ, UK); H Fukaya (Department of Physics, Osaka University, Toyonaka 560-0043, Japan); S Hashimoto (KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan, School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan); T Kaneko (KEK Theory Center, High Energy Accelerator Research Organization (KEK), Tsukuba 305-0801, Japan, School of High Energy Accelerator Science, The Graduate University for Advanced Studies (Sokendai), Tsukuba 305-0801, Japan)
We compute the topological susceptibility of lattice QCD with dynamical quark flavors described by the Möbius domain-wall fermion. Violation of chiral symmetry as measured by the residual mass is kept at 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 W. Bietenholz, P. de Forcrand, and U. Gerber, J. High Energy Phys. 12 , 070 (2015) and W. Bietenholz, K. Cichy, P. de Forcrand, A. Dromard, and U. Gerber, PoS LATTICE 2016 , 321 (2016). The quark mass dependence of is consistent with the prediction of chiral perturbation theory, from which the chiral condensate is extracted as , where the first error is statistical and the second one is systematic. Combining the results for the pion mass and decay constant , we obtain at the physical point.
