An alternative to domain wall fermions

Abstract

We define a sparse hermitian lattice Dirac matrix, $H$, coupling $2n+1$ Dirac fermions. When $2n$ fermions are integrated out the induced action for the last fermion is a rational approximation to the hermitian overlap Dirac operator. We provide rigorous bounds on the condition number of $H$ and compare them to bounds for the higher dimensional Dirac operator of domain wall fermions. Our main conclusion is that overlap fermions should be taken seriously as a practical alternative to domain wall fermions in the context of numerical QCD.

Revtex Latex, 26 pages, 1 figure, a few minor changes

References in corpus (6)

• Bounds on the Wilson Dirac Operator
• Lattice QCD with the Overlap-Dirac Operator: Its $\Lambda$ Parameter, and One-Loop Renormalization of Fermionic Currents
• One-loop renormalization of fermionic currents with the overlap-Dirac operator
• Lambda-parameter of lattice QCD with the overlap-Dirac operator
• One-loop analyses of lattice QCD with the overlap Dirac operator
• Hadron Masses and Quark Condensate from Overlap Fermions

Cited by in corpus (20)

• Numerical Methods for the QCD Overlap Operator: I. Sign-Function and Error Bounds
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• Two-flavor QCD simulation with exact chiral symmetry
• Deflated GMRES for Systems with Multiple Shifts and Multiple Right-Hand Sides
• Physics issues in simulations with dynamical overlap fermions
• The finite temperature QCD phase transition with domain wall fermions
• Numerical Methods for the QCD Overlap Operator:III. Nested Iterations
• Filtered overlap: speedup, locality, kernel non-normality and Z_A~1
• Chiral properties of two-flavor QCD in small volume and at large lattice spacing
• Exact Chiral Symmetry on the Lattice
• Perturbative Renormalization of Weak-Hamiltonian Four-Fermion Operators with Overlap Fermions
• Analysis of the DeltaI=1/2 Rule and e'/e with Overlap Fermions
• Perturbative renormalization of moments of quark momentum, helicity and transversity distributions with overlap and Wilson fermions
• Improved Seed Methods for Symmetric Positive Definite Linear Equations with Multiple Right-hand Sides
• The overlap operator as a continued fraction
• Recent Progress in Lattice QCD
• Dynamical overlap fermions, results with HMC algorithm
• The eigSUMR inverter for overlap fermion
• Unquenched domain wall quarks with multi-bosons