Topology via Spectral Projectors with Staggered Fermions

Abstract

The spectral projectors method is a way to obtain a theoretically well posed definition of the topological susceptibility on the lattice. Up to now this method has been defined and applied only to Wilson fermions. The goal of this work is to extend the method to staggered fermions, giving a definition for the staggered topological susceptibility and testing it in the pure $SU(3)$ gauge theory. Besides, we also generalize the method to higher-order cumulants of the topological charge distribution.

References in corpus (30)

• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Trivializing maps, the Wilson flow and the HMC algorithm
• Vector like gauge theories with almost massless fermions on the lattice
• Precision computation of a low-energy reference scale in quenched lattice QCD
• Theta dependence of SU(N) gauge theories in the presence of a topological term
• The topological susceptibility in finite temperature QCD and axion cosmology
• Theta dependence of SU(N) gauge theories
• Topological susceptibility in the SU(3) gauge theory
• Chiral symmetry breaking and the Banks--Casher relation in lattice QCD with Wilson quarks
• Comparison of the gradient flow with cooling in $SU(3)$ pure gauge theory
• Topological effects in QCD and the problem of short-distance singularities
• The QCD Chiral Condensate from the Lattice
• Universality of the topological susceptibility in the SU(3) gauge theory
• Change of theta dependence in 4D SU(N) gauge theories across the deconfinement transition
• Non-Gaussianities in the topological charge distribution of the SU(3) Yang--Mills theory
• Chiral observables and topology in hot QCD with two families of quarks
• Topology in full QCD at high temperature: a multicanonical approach
• Topological charge using cooling and the gradient flow
• Theta dependence of the vacuum energy in the SU(3) gauge theory from the lattice
• $\theta$ dependence of 4D $SU(N)$ gauge theories in the large-$N$ limit
• $\theta$ dependence in $SU(3)$ Yang-Mills theory from analytic continuation
• Theoretical foundation for the Index Theorem on the lattice with staggered fermions
• Field theoretical approach to the study of theta dependence in Yang-Mills theories on the lattice
• Testing the self-duality of topological lumps in SU(3) lattice gauge theory
• Topological susceptibility from the overlap
• Non-perturbative Test of the Witten-Veneziano Formula from Lattice QCD
• Topological susceptibility from twisted mass fermions using spectral projectors and the gradient flow
• Laplacian modes probing gauge fields
• Quantitative comparison of filtering methods in lattice QCD
• Topological Index Theorem on the Lattice through the Spectral Flow of Staggered Fermions

Cited by in corpus (5)

• Phase Transitions in Particle Physics -- Results and Perspectives from Lattice Quantum Chromo-Dynamics
• 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
• Lattice determination of the topological susceptibility slope ${\chi }^{\prime }$ of $2d{\mathrm{CP}}^{N-1}$ models at large $N$
• Scaling flow-based approaches for topology sampling in $\mathrm{SU}(3)$ gauge theory