Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow

Abstract

We compare lattice QCD determinations of topological susceptibility using a gluonic definition from the gradient flow and a fermionic definition from the spectral projector method. We use ensembles with dynamical light, strange and charm flavors of maximally twisted mass fermions. For both definitions of the susceptibility we employ ensembles at three values of the lattice spacing and several quark masses at each spacing. The data are fitted to chiral perturbation theory predictions with a discretization term to determine the continuum chiral condensate in the massless limit and estimate the overall discretization errors. We find that both approaches lead to compatible results in the continuum limit, but the gluonic ones are much more affected by cut-off effects. This finally yields a much smaller total error in the spectral projector results. We show that there exists, in principle, a value of the spectral cutoff which would completely eliminate discretization effects in the topological susceptibility.

18 pages, 19 figures

References in corpus (42)

• Instantons in QCD
• Exactly massless quarks on the lattice
• Properties and uses of the Wilson flow in lattice QCD
• More about exactly massless quarks on the lattice
• Solving Lattice QCD systems of equations using mixed precision solvers on GPUs
• Perturbative analysis of the gradient flow in non-abelian gauge theories
• Chirally improving Wilson fermions - I. O(a) improvement
• Light hadrons from lattice QCD with light (u,d), strange and charm dynamical quarks
• Chirally improving Wilson fermions II. Four-quark operators
• Up, down, strange and charm quark masses with Nf = 2+1+1 twisted mass lattice QCD
• Exact chiral symmetry, topological charge and related topics
• Twisted-mass lattice QCD with mass non-degenerate quarks
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Nucleon and pion structure with lattice QCD simulations at physical value of the pion mass
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Symanzik improvement of the gradient flow in lattice gauge theories
• Topological effects in QCD and the problem of short-distance singularities
• First Physics Results at the Physical Pion Mass from $N_f=2$ Wilson Twisted Mass Fermions at Maximal Twist
• Universality of the topological susceptibility in the SU(3) gauge theory
• Reducing cutoff effects in maximally twisted lattice QCD close to the chiral limit
• The U_A(1) Problem on the Lattice with Ginsparg-Wilson Fermions
• Computing K and D meson masses with N_f = 2+1+1 twisted mass lattice QCD
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• The phase structure of lattice QCD with two flavours of Wilson quarks and renormalization group improved gluons
• Topological susceptibility in full QCD with Ginsparg-Wilson fermions
• 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 in two-flavor lattice QCD with exact chiral symmetry
• Topological Susceptibility to the One-Loop Order in Chiral Perturbation Theory
• Numerical simulation of QCD with u, d, s and c quarks in the twisted-mass Wilson formulation
• Quenched Scaling of Wilson twisted mass fermions
• ${\eta }^{\prime }$ meson mass from topological charge density correlator in QCD
• Chiral condensate from the twisted mass Dirac operator spectrum
• Neutron electric dipole moment using $N_f=2+1+1$ twisted mass fermions
• η and η' mesons from Nf=2+1+1 twisted mass lattice QCD
• Topological susceptibility from the overlap
• Topological susceptibility from the twisted mass Dirac operator spectrum
• Topological Susceptibility from Slabs
• Topology in QCD
• Additive and multiplicative renormalization of topological charge with improved gluon/fermion actions: A test case for 3-loop vacuum calculations, using overlap or clover fermions
• Topological charge on the lattice: a field theoretical view of the geometrical approach
• Short distance singularities and automatic O($a$) improvement: the cases of the chiral condensate and the topological susceptibility

Cited by in corpus (16)

• FLAG Review 2019
• FLAG Review 2021
• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• Topology in full QCD at high temperature: a multicanonical approach
• Masses and decay constants of the $\eta$ and ${\eta }^{\prime }$ mesons from lattice QCD
• Topology and axions in QCD
• Topological susceptibility of $N_f=2+1$ QCD from staggered fermions spectral projectors at high temperatures
• Neutron electric dipole moment using lattice QCD simulations at the physical point
• Dispersive analysis of glueball masses
• Exclusive semileptonic $B_s\to K\ell \nu$ decays on the lattice
• Topological susceptibility and ${\eta }^{\prime }$ meson mass from $N_f=2$ lattice QCD at the physical point
• Topology via Spectral Projectors with Staggered Fermions
• Lattice QCD and the Neutron Electric Dipole Moment
• On the chiral anomaly and the Yang-Mills gradient flow
• The Leutwyler-Smilga relation on the lattice
• Impact of Dynamical Charm Quark and Mixed Action Effect on Light Hadron Masses and Decay Constants