Topological susceptibility from the twisted mass Dirac operator spectrum

Abstract

We present results of our computation of the topological susceptibility with $N_f=2$ and $N_f=2+1+1$ flavours of maximally twisted mass fermions, using the method of spectral projectors. We perform a detailed study of the quark mass dependence and discretization effects. We make an attempt to confront our data with chiral perturbation theory and extract the chiral condensate from the quark mass dependence of the topological susceptibility. We compare the value with the results of our direct computation from the slope of the mode number. We emphasize the role of autocorrelations and the necessity of long Monte Carlo runs to obtain results with good precision. We also show our results for the spectral projector computation of the ratio of renormalization constants $Z_P/Z_S$.

22 pages, 9 figures, matches JHEP version

References in corpus (7)

• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Twisted mass lattice QCD
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD
• Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation
• Non-perturbative renormalization in coordinate space for $N_f=2$ maximally twisted mass fermions with tree-level Symanzik improved gauge action
• Anomalies, gauge field topology, and the lattice

Cited by in corpus (11)

• Chiral observables and topology in hot QCD with two families of quarks
• Topology in full QCD at high temperature: a multicanonical approach
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Topological susceptibility and the sampling of field space in $N_f=2$ lattice QCD simulations
• Topological charge using cooling and the gradient flow
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Topological susceptibility of QCD with dynamical Möbius domain wall fermions
• Interpreting Numerical Measurements in Fixed Topological Sectors
• Extracting hadron masses from fixed topology simulations
• Quark mass anomalous dimension and ${\Lambda }_{\overline{\text{MS}}}$ from the twisted mass Dirac operator spectrum
• Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility