Moebius Fermions

Abstract

We introduce a new domain wall operator that represents a full (real) Moebius transformation of a given non-chiral Dirac kernel. Shamir's and Borici's domain wall fermions are special cases of this new class. By tuning the parameters of the Moebius operator and by introducing a new Red/Black preconditioning, we are able to reduce the computational effort substantially.

8 pages, 7 PostScript figures, to appear in proceedings of Computational Hadron Physics, Nicosia, 14-17 Sep 2005

References in corpus (15)

• Exactly massless quarks on the lattice
• A Method for Simulating Chiral Fermions on the Lattice
• Chiral Fermions from Lattice Boundaries
• Axial symmetries in lattice QCD with Kaplan fermions
• Chiral Determinant as an Overlap of Two Vacua
• Infinitely many regulator fields for chiral fermions
• Chiral Fermions on the Lattice
• Vector like gauge theories with almost massless fermions on the lattice
• QCD as a Quantum Link Model
• Quenched Lattice QCD with Domain Wall Fermions and the Chiral Limit
• Domain wall fermions with improved gauge actions
• Optimal lattice domain-wall fermions
• Chiral properties of domain-wall quarks in quenched QCD
• Domain Wall Fermions with Exact Chiral Symmetry
• Truncated Overlap Fermions

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• On Lattice Calculation of Electric Dipole Moments and Form Factors of the Nucleon
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• Study of the axial U(1) anomaly at high temperature with lattice chiral fermions
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• Approximate degeneracy of $J=1$ spatial correlators in high temperature QCD
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• Lattice-fermionic Casimir effect and topological insulators
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• Anderson Localization in high temperature QCD: background configuration properties and Dirac eigenmodes
• Casimir effect for lattice fermions
• Localization of Dirac Fermions in Finite-Temperature Gauge Theory
• An exploratory study of heavy domain wall fermions on the lattice
• Multigrid for Chiral Lattice Fermions: Domain Wall
• Domain Wall Fermion QCD with the Exact One Flavor Algorithm
• Axial $U(1)$ symmetry at high temperature in 2-flavor lattice QCD
• Axial U(1) symmetry, topology, and Dirac spectra at high temperature in $N_f=2$ lattice QCD
• Spectral properties and chiral symmetry violations of (staggered) domain wall fermions in the Schwinger model
• Axial U(1) symmetry and Dirac spectra in high-temperature phase of $N_f=2$ lattice QCD
• What is chiral susceptibility probing?
• Solving DWF Dirac Equation Using Multi-splitting Preconditioned Conjugate Gradient with Tensor Cores on NVIDIA GPUs
• Symmetry of screening masses of mesons in two-flavor lattice QCD at high temperatures
• Degeneracy of vector-channel spatial correlators in high temperature QCD