Domain wall fermion zero modes on classical topological backgrounds

Details Domain wall fermion zero modes on classical topological backgrounds Domain wall fermion zero modes on classical topological backgrounds

1998-07-13

arxiv.org/abs/hep-lat/9807029v2

Phys.Rev. D59 (1999) 054508

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

10.1103/PhysRevD.59.054508

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.

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