Gap Domain Wall Fermions

Abstract

I demonstrate that the chiral properties of Domain Wall Fermions (DWF) in the large to intermediate lattice spacing regime of QCD, 1 to 2 GeV, are significantly improved by adding to the action two standard Wilson fermions with supercritical mass equal to the negative DWF five dimensional mass. Using quenched DWF simulations I show that the eigenvalue spectrum of the transfer matrix Hamiltonian develops a substantial gap and that the residual mass decreases appreciatively. Furthermore, I confirm that topology changing remains active and that the hadron spectrum of the added Wilson fermions is above the lattice cutoff and therefore is irrelevant. I argue that this result should also hold for dynamical DWF and furthermore that it should improve the chiral properties of related fermion methods.

12 pages of text, 14 figures, added sect.6 on topology and references

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Cited by in corpus (40)

• Light Hadron Masses from Lattice QCD
• The QCD chiral transition, $\ua$ symmetry and the Dirac spectrum using domain wall fermions
• The chiral transition and U(1)_A symmetry restoration from lattice QCD using Domain Wall Fermions
• Domain Wall QCD with Near-Physical Pions
• The $K\to (\pi \pi {)}_{I=2}$ Decay Amplitude from Lattice QCD
• Lattice gauge action suppressing near-zero modes of H_W
• Lattice determination of the $K\to (\pi \pi {)}_{I=2}$ Decay Amplitude $A_2$
• The Low Energy Constants of $SU(2)$ Partially Quenched Chiral Perturbation Theory from $N_f=2+1$ Domain Wall QCD
• Two-flavor QCD simulation with exact chiral symmetry
• Pion form factors from two-flavor lattice QCD with exact chiral symmetry
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• The finite temperature QCD using 2+1 flavors of domain wall fermions at N_t = 8
• Lattice super-Yang-Mills using domain wall fermions in the chiral limit
• Determination of the chiral condensate from QCD Dirac spectrum on the lattice
• Progress in four-dimensional lattice supersymmetry
• Lattice study of meson correlators in the epsilon-regime of two-flavor QCD
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• Lattice QCD Thermodynamics with Physical Quark Masses
• Light meson electromagnetic form factors from three-flavor lattice QCD with exact chiral symmetry
• The Möbius Domain Wall Fermion Algorithm
• Chiral perturbation theory in a theta vacuum
• First-order restoration of SU(Nf) x SU(Nf) chiral symmetry with large Nf and Electroweak phase transition
• Opening the Rome-Southampton window for operator mixing matrices
• Chiral magnetic effect in 2+1 flavor QCD+QED
• Suppressing dislocations in normalized hypercubic smearing
• Controlling Residual Chiral Symmetry Breaking in Domain Wall Fermion Simulations
• Lattice determination of $I=0$ and 2 $\pi \pi$ scattering phase shifts with a physical pion mass
• Domain Wall Fermion QCD with the Exact One Flavor Algorithm
• Comparing topological charge definitions using topology fixing actions
• The Tunneling Hybrid Monte-Carlo algorithm
• Distance between various discretized fermion actions
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• Dynamical overlap fermion at fixed topology
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• Moebius Algorithm for Domain Wall and GapDW Fermions
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