Bound states for Overlap and Fixed Point Actions close to the chiral limit
arXiv:hep-lat/0105013 · doi:10.1016/S0370-2693(01)00847-4
Abstract
We study the overlap and the fixed point Dirac operators for massive fermions in the two-flavor lattice Schwinger model. The masses of the triplet (pion) and singlet (eta) bound states are determined down to small fermion masses and the mass dependence is compared with various continuum model approximations. Near the chiral limit, at very small fermion masses the fixed point operator has stability problems, which in this study are dominated by finite size effects,
arXiv comment13 pages, 2 figures
References in corpus (29)
- Exactly massless quarks on the lattice
- A construction of lattice chiral gauge theories
- Locality properties of Neuberger's lattice Dirac operator
- Chiral Determinant as an Overlap of Two Vacua
- Infinitely many regulator fields for chiral fermions
- Chiral Fermions on the Lattice
- Perfect lattice action for asymptotically free theories
- Prospects for perfect actions
- A practical implementation of the Overlap-Dirac operator
- A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
- The Massive Multi-flavor Schwinger Model
- A Study of Practical Implementations of the Overlap-Dirac Operator in Four Dimensions
- Topological Charge and The Spectrum of Exactly Massless Fermions on the Lattice
- Massive Schwinger model within mass perturbation theory
- Fixed point action for the massless lattice Schwinger model
- Eigenvalue spectrum of massless Dirac operators on the lattice
- Functional Integral Approach to the N-Flavor Schwinger Model
- Monte Carlo evaluation of a fermion number violating observable in 2D
- The chiral limit of the two-flavor lattice Schwinger model with Wilson fermions
- Chiral properties of the fixed point action of the Schwinger model
- Fermionic Determinant of the Massive Schwinger Model
- Progress using generalized lattice Dirac operators to parametrize the Fixed-Point QCD action
- Discussing the U(1)-Problem of QED_2 without Instantons
- Mass spectrum and elastic scattering in the massive SU(2)_f Schwinger model on the lattice
- Fermion Determinants in Static, Inhomogeneous Magnetic Fields
- Considerations on Neuberger's operator
- Meson-meson scattering in the massive Schwinger model --- a status report
- Spectrum of the fixed point Dirac operator in the Schwinger model
- Exact results and approximation schemes for the Schwinger model with the overlap Dirac operator