The Scaling of Exact and Approximate Ginsparg-Wilson Fermions
arXiv:hep-lat/9902019 · doi:10.1016/S0550-3213(99)00477-0
Abstract
We construct a number of lattice fermions, which fulfill the Ginsparg-Wilson relation either exactly or approximately, and test them in the framework of the 2-flavor Schwinger model. We start from explicit approximations within a short range, and study this formulation, as well as its correction to an exact Ginsparg-Wilson fermion by the ``overlap formula''. Then we suggest a new method to realize this correction perturbatively, without using the tedious square root operator. In this way we combine many favorable properties: good chiral behavior, small mass renormalization, excellent scaling and rotational invariance, as well as a relatively modest computational effort, which makes such formulations most attractive for QCD.
31 pages, 21 figures, replaced by final version to appear in Nucl. Phys. B
References in corpus (28)
- Exact chiral symmetry on the lattice and the Ginsparg-Wilson relation
- 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
- Lattice QCD without tuning, mixing and current renormalization
- Abelian chiral gauge theories on the lattice with exact gauge invariance
- A practical implementation of the Overlap-Dirac operator
- Topology and the axial anomaly in abelian lattice gauge theories
- A continuum limit of the chiral Jacobian in lattice gauge theory
- Quark spectra, topology and random matrix theory
- A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
- Ginsparg-Wilson Relation and Ultralocality
- Axial vector current of exact chiral symmetry on the lattice
- Eigenvalue spectrum of massless Dirac operators on the lattice
- On the Neuberger overlap operator
- Gauge Invariant Effective Action in Abelian Chiral Gauge Theory on the Lattice
- Perfect Actions with Chemical Potential
- Wilson, fixed point and Neuberger's lattice Dirac operator for the Schwinger model
- Preconditioning of Improved and ``Perfect'' Fermion Actions
- Chiral properties of the fixed point action of the Schwinger model
- Clover improvement, spectrum and Atiyah-Singer index theorem for the Dirac operator on the lattice
- Logarithmic Universality in Random Matrix Theory
- Hybrid Monte Carlo algorithm for lattice QCD with two flavors of dynamical Ginsparg-Wilson quarks
- Improved Lattice Actions with Chemical Potential
- Lattice QCD with Exponentially Small Chirality Breaking
- Optimizing the Chiral Properties of Lattice Fermions
- SW action for the lattice Schwinger model
- A Preconditioner for Improved Fermion Actions
Cited by in corpus (42)
- Approximate Ginsparg-Wilson fermions: A first test
- Quenched spectroscopy with fixed-point and chirally improved fermions
- A variant approach to the overlap action
- Two-flavor QCD simulation with exact chiral symmetry
- Overlap Dirac operator at nonzero chemical potential and random matrix theory
- Meson and Baryon dispersion relations with Brillouin fermions
- Spectral Properties of the Overlap Dirac Operator in QCD
- Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
- Convergence Rate and Locality of Improved Overlap Fermions
- New approximate solutions of the Ginsparg-Wilson equation - tests in 2-d
- Overlap Hypercube Fermions in QCD Simulations Near the Chiral Limit
- Scaling test of fermion actions in the Schwinger model
- Domain-wall and overlap fermions at nonzero quark chemical potential
- Probing the fuzzy sphere regularisation in simulations of the 3d λϕ^4 model
- Improved lattice fermion action for heavy quarks
- Thermodynamics of the ideal overlap quarks on the lattice
- Schwinger Model with the Overlap-Dirac Operator: exact results versus a physics motivated approximation
- Exploring Topology Conserving Gauge Actions for Lattice QCD
- Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
- A Numerical Study of the 2-Flavour Schwinger Model with Dynamical Overlap Hypercube Fermions
- Recent results from systematic parameterizations of Ginsparg-Wilson fermions
- Varieties and properties of central-branch Wilson fermions
- Fermion Actions extracted from Lattice Super Yang-Mills Theories
- Meson spectral functions with chirally symmetric lattice fermions
- Sum Rules for the Dirac Spectrum of the Schwinger Model
- Divergent chiral condensate in the quenched Schwinger model
- A Study of the 't Hooft Model with the Overlap Dirac Operator
- Axial Anomaly and Index of the Overlap Hypercube Operator
- Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
- Lattice fermions as spectral graphs
- Thermodynamics of free Domain Wall fermions
- Physics prospects of UV-filtered overlap quarks
- Features of a 2d Gauge Theory with Vanishing Chiral Condensate
- Fast evaluation and locality of overlap fermions
- Constructing Improved Overlap Fermions in QCD
- New conjecture on exact Dirac zero-modes of lattice fermions
- Equivalence of lattice operators and graph matrices
- Overlap Hypercube Fermions in QCD
- Minimal-doubling and single-Weyl Hamiltonians
- Topological properties of minimally doubled fermions in two space-time dimensions
- Lattice fermion formulation via Physics-Informed Neural Networks: Ginsparg-Wilson relation and Overlap fermions
- Testing Fermion Actions: Scaling in the Schwinger Model