Domain wall fermion zero modes on classical topological backgrounds

Abstract

The domain wall approach to lattice fermions employs an additional dimension, in which gauge fields are merely replicated, to separate the chiral components of a Dirac fermion. It is known that in the limit of infinite separation in this new dimension, domain wall fermions have exact zero modes, even for gauge fields which are not smooth. We explore the effects of finite extent in the fifth dimension on the zero modes for both smooth and non-smooth topological configurations and find that a fifth dimension of around ten sites is sufficient to clearly show zero mode effects. This small value for the extent of the fifth dimension indicates the practical utility of this technique for numerical simulations of QCD.

Updated fig. 3-7, small changes in sect. 3, added fig. 8, added more references

References in corpus (7)

• More about exactly massless quarks on the lattice
• Vector like gauge theories with almost massless fermions on the lattice
• A practical implementation of the Overlap-Dirac operator
• Spectral flow, condensate and topology in lattice QCD
• The hermitian Wilson-Dirac operator in smooth SU(2) instanton backgrounds
• Topology, fermionic zero modes and flavor singlet correlators in finite temperature QCD
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Cited by in corpus (12)

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• Super Yang-Mills on the lattice with domain wall fermions
• The finite temperature QCD phase transition with domain wall fermions
• Fermion-induced quantum action of vortex systems
• Pairs of chiral quarks on the lattice from staggered fermions
• Locality bound for effective four-dimensional action of domain-wall fermion
• Chiral magnetic effect in 2+1 flavor QCD+QED
• Domain Wall Fermions in Quenched Lattice QCD
• Ginsparg-Wilson Fermions: A study in the Schwinger Model
• Domain-Wall Induced Quark Masses in Topologically-Nontrivial Background
• The staggered domain wall fermion method
• Finite Temperature QCD with Domain Wall Fermions