Chiral zero modes on the domain-wall model in 4+1 dimensions

Details Chiral zero modes on the domain-wall model in 4+1 dimensions Chiral zero modes on the domain-wall model in 4+1 dimensions

1996-10-24

arxiv.org/abs/hep-lat/9610033v1

Phys.Rev. D56 (1997) 1121-1130

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages (13 figures), Latex (epsf style-file needed)

Scientific paper

10.1103/PhysRevD.56.1121

We investigate an original domain-wall model in 4+1 dimensions numerically in the presence of U(1) dynamical gauge field only in an extra dimension, corresponding to a weak coupling limit of 4-dimensional physical gauge coupling. Using a quenched approximation we carry out numerical simulation for this model at $\beta_{s} (= 1 / g^{2}_{s}) =$ 0.29 (``symmetric'' phase) and 0.5 (``broken'' phase), where $g_s$ is the gauge coupling constant of the extra dimension. In the broken phase, we found that there exists a critical value of a domain-wall mass $m_{0}^{c}$ which separates a region with a fermionic zero mode on the domain wall from the one without it in the same case of (2+1)-dimensional model. On the other hand, in the symmetric phase, our numerical data suggest that the chiral zero modes disappear in the infinite limit of 4-dimensional volume. From these results it seems difficult to construct the U(1) lattice chiral gauge theory via an original domain-wall formulation.

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