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.
Cite
@article{arxiv.hep-lat/9807029,
title = {Domain wall fermion zero modes on classical topological backgrounds},
author = {P. Chen and N. Christ and G. Fleming and A. Kaehler and C. Malureanu and R. Mawhinney and C. Sui and P. Vranas and Y. Zhestkov},
journal= {arXiv preprint arXiv:hep-lat/9807029},
year = {2009}
}
Comments
Updated fig. 3-7, small changes in sect. 3, added fig. 8, added more references