Staggered versus overlap fermions: a study in the Schwinger model with $N_f=0,1,2$

Abstract

We study the scalar condensate and the topological susceptibility for a continuous range of quark masses in the Schwinger model with $N_f=0,1,2$ dynamical flavors, using both the overlap and the staggered discretization. At finite lattice spacing the differences between the two formulations become rather dramatic near the chiral limit, but they get severely reduced, at the coupling considered, after a few smearing steps.

arXiv comment15 pages, 7 figures, v2: 1 ref corrected, minor changes

References in corpus (24)

• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
• Chiral Fermions from Lattice Boundaries
• A construction of lattice chiral gauge theories
• Flavor Symmetry and the Static Potential with Hypercubic Blocking
• More about exactly massless quarks on the lattice
• The index theorem in QCD with a finite cut-off
• Locality properties of Neuberger's lattice Dirac operator
• Chiral Determinant as an Overlap of Two Vacua
• High-Precision Lattice QCD Confronts Experiment
• A simulation of the Schwinger model in the overlap formalism
• Fixed point action for the massless lattice Schwinger model
• Eigenvalue spectrum of massless Dirac operators on the lattice
• Lattice Study of the Massive Schwinger Model with $\theta$ Term under Lüscher's "Admissibility" Condition
• Chirality Correlation within Dirac Eigenvectors from Domain Wall Fermions
• Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
• Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model
• Ginsparg-Wilson Fermions: A study in the Schwinger Model
• Some Applications of the Overlap Formalism
• Chiral condensate in the quenched Schwinger model
• How well do lattice simulations reproduce the different aspects of the geometric Schwinger model
• QCD in a finite box: Numerical test studies in the three Leutwyler-Smilga regimes
• Topology and pion correlators -- a study in the N_f=2 Schwinger model

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• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Numerical properties of staggered quarks with a taste-dependent mass term
• Quark Hadron Duality at Finite Temperature
• The rooting issue for a lattice fermion formulation similar to staggered fermions but without taste mixing
• Simulation strategies for the massless lattice Schwinger model in the dual formulation
• Interpreting Numerical Measurements in Fixed Topological Sectors
• Massive Schwinger model at finite $\theta$
• The locality of the square-root method for improved staggered quarks
• Lattice QCD with mixed actions
• Mixed Action Simulations on Staggered Background; Interpretation and Result for the 2-flavor QCD Chiral Condensate
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• Divergent chiral condensate in the quenched Schwinger model
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