The overlap lattice Dirac operator and dynamical fermions

Abstract

I show how to avoid a two level nested conjugate gradient procedure in the context of Hybrid Monte Carlo with the overlap fermionic action. The resulting procedure is quite similar to Hybrid Monte Carlo with domain wall fermions, but is more flexible and therefore has some potential worth exploring.

Further expanded version. 12 pages, plain TeX

References in corpus (7)

• More about exactly massless quarks on the lattice
• A practical implementation of the Overlap-Dirac operator
• A study of chiral symmetry in quenched QCD using the Overlap-Dirac operator
• Geometrical aspects of chiral anomalies in the overlap
• Ginsparg-Wilson relation and the overlap formula
• Witten's SU(2) anomaly on the lattice
• Exponential suppression of radiatively induced mass in the truncated overlap

Cited by in corpus (18)

• Theta dependence of SU(N) gauge theories in the presence of a topological term
• Dynamical overlap fermions, results with hybrid Monte-Carlo algorithm
• 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
• Topology with Dynamical Overlap Fermions
• Numerical Methods for the QCD Overlap Operator IV: Hybrid Monte Carlo
• Exact Chiral Symmetry on the Lattice
• Lambda-parameter of lattice QCD with the overlap-Dirac operator
• An alternative to domain wall fermions
• On the gauge invariant path-integral measure for the overlap Weyl fermions in $\underline{16}$ of SO(10)
• Why is the mission impossible? -- Decoupling the mirror Ginsparg-Wilson fermions in the lattice models for two-dimensional abelian chiral gauge theories
• Approximate equation relevant to axial oscillations on slowly rotating relativistic stars
• Fermion-scalar interactions with domain wall fermions
• The overlap operator as a continued fraction
• Lattice QCD with fixed topology
• Differential equation for spectral flows of hermitean Wilson-Dirac operator
• An Algorithmic Approach to Quantum Field Theory
• On the continuum limit of the lattice chiral anomaly trace relation