Validity of the Rooted Staggered Determinant in the continuum limit

Abstract

We investigate the continuum limit of the rooted staggered determinant in the 2-dimensional Schwinger model. We match both the unrooted and rooted staggered determinant with an overlap fermion determinant of two (one) flavors and a local pure gauge effective action by fitting the coefficients of the effective action and the mass of the overlap operator. The residue of this fit measures the difference of the staggered and overlap fermion actions. We show that this residue scales at least as O(a^2), implying that any difference, be it local or non-local, between the staggered and overlap actions becomes irrelevant in the continuum limit. This observation justifies the rooting procedure.

arXiv comment12 pages, 8 figures, REVTeX4

References in corpus (11)

• Scaling tests with dynamical overlap and rooted staggered fermions
• Observations on staggered fermions at non-zero lattice spacing
• Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$
• Locality of the fourth root of the Staggered-fermion determinant: renormalization-group approach
• On the fourth root prescription for dynamical staggered fermions
• Locality with staggered fermions
• Evidence for O(2) universality at the finite temperature transition for lattice QCD with 2 flavours of massless staggered quarks
• Order of the Chiral and Continuum Limits in Staggered Chiral Perturbation Theory
• Scaling test of fermion actions in the Schwinger model
• Simulating Full QCD with the Fixed Point Action
• The fourth root of the Kogut-Susskind determinant via infinite component fields

Cited by in corpus (27)

• Light Hadron Masses from Lattice QCD
• Multi-Pion States in Lattice QCD and the Charged-Pion Condensate
• Precise Determination of the I=2 pipi Scattering Length from Mixed-Action Lattice QCD
• Calculating the hadronic vacuum polarization and leading hadronic contribution to the muon anomalous magnetic moment with improved staggered quarks
• Observations on staggered fermions at non-zero lattice spacing
• Renormalization-group analysis of the validity of staggered-fermion QCD with the fourth-root recipe
• Pi-K Scattering in Full QCD with Domain-Wall Valence Quarks
• The K+K+ Scattering Length from Lattice QCD
• f_K/f_pi in Full QCD with Domain Wall Valence Quarks
• Meson-Baryon Scattering Lengths from Mixed-Action Lattice QCD
• Studying the $\rho$ resonance parameters with staggered fermions
• Lattice QCD study of the s-wave $\pi \pi$ scattering lengths in the I=0 and 2 channels
• QCD thermodynamics with 2+1 flavors at nonzero chemical potential
• Heavy-Light Semileptonic Decays in Staggered Chiral Perturbation Theory
• Mixed Meson Masses with Domain-Wall Valence and Staggered Sea Fermions
• 't Hooft vertices, partial quenching, and rooted staggered QCD
• Lattice QCD study on $K^{\ast }(892)$ meson decay width
• Rooted staggered fermions: good, bad or ugly?
• Möbius domain-wall fermions on gradient-flowed dynamical HISQ ensembles
• Quark Hadron Duality at Finite Temperature
• Infrared features of unquenched finite temperature lattice Landau gauge QCD
• Mixed Action Simulations on Staggered Background; Interpretation and Result for the 2-flavor QCD Chiral Condensate
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Brief Review of Saturation Physics
• Two Lectures on QCD at Short Distances: Jets and Factorization
• Topics in Effective Field Theory for Lattice QCD
• Strong-Isospin Breaking in the Neutron-Proton Mass Difference