Topological susceptibility in 2+1 flavors lattice QCD with domain-wall fermions

Abstract

We measure the topological charge and its fluctuation for the gauge configurations generated by the RBC and UKQCD Collaborations using 2+1 flavors of domain-wall fermions on the 16^3 x 32 lattice (L \simeq 2 fm) with length 16 in the fifth dimension at inverse lattice spacing a^{-1} \simeq 1.62 GeV. From the spectral flow of the Hermitian operator H_w (2 + γ_5 H_w)^{-1}, we obtain the topological charge Q_t of each gauge configuration in the three ensembles with light sea quark masses m_q a = 0.01, 0.02, and 0.03, and with the strange quark mass fixed at m_s a = 0.04. From our result of Q_t, we compute the topological susceptibilty χ_t = < Q_t^2 > /volume. In the small m_q regime, our result of χ_t agrees with the chiral effective theory. Using the formula χ_t = Σ/ (m_u^{-1} + m_d^{-1} + m_s^{-1}) by Leutwyler-Smilga, we obtain the chiral condensate Σ^MSbar(2 GeV) = [259(6)(9) MeV]^3.

9 pages, 3 EPS figures

References in corpus (5)

• 2+1 flavor domain wall QCD on a (2 fm)^3 lattice: light meson spectroscopy with Ls = 16
• Non-perturbative renormalization of quark bilinear operators and B_K using domain wall fermions
• Two-flavor lattice QCD simulation in the epsilon-regime with exact chiral symmetry
• Two-flavor lattice QCD in the epsilon-regime and chiral Random Matrix Theory
• Topological susceptibility in two-flavor lattice QCD with exact chiral symmetry

Cited by in corpus (18)

• FLAG Review 2019
• FLAG Review 2021
• Review of lattice results concerning low energy particle physics
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Determination of the chiral condensate from 2+1-flavor lattice QCD
• Chiral condensate from the twisted mass Dirac operator spectrum
• Topological susceptibility with the asqtad action
• Topological Susceptibility in Two Flavors Lattice QCD with the Optimal Domain-Wall Fermion
• Probing the chiral regime of Nf=2 QCD with mixed actions
• Topological susceptibility on the lattice and the three-flavour quark condensate
• Determining the chiral condensate from the distribution of the winding number beyond topological susceptibility
• Topological susceptibility of QCD with dynamical Möbius domain wall fermions
• Non-perturbative renormalization of bilinear operators with dynamical overlap fermions
• Topological susceptibility in (2+1)-flavor lattice QCD with overlap fermion
• New insight on the quark condensate beyond chiral limit
• The topological susceptibility from grand canonical simulations in the interacting instanton liquid model: zero temperature calibrations and numerical framework
• QCD topological susceptibility from the nonlocal chiral quark model