Chiral zero modes on the domain-wall model in 4+1 dimensions
- Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)
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 four-dimensional physical gauge coupling. Using a quenched approximation we carry out a numerical simulation for this model at {beta}{sub s}(=1/g{sub s}{sup 2})= 0.29 ({open_quotes}symmetric{close_quotes} phase) and 0.5 ({open_quotes}broken{close_quotes} phase), where g{sub 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{sub 0}{sup 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 four-dimensional volume. From these results it seems difficult to construct the U(1) lattice chiral gauge theory via an original domain-wall formulation. {copyright} {ital 1997} {ital The American Physical Society}
- OSTI ID:
- 527089
- Journal Information:
- Physical Review, D, Vol. 56, Issue 2; Other Information: PBD: Jul 1997
- Country of Publication:
- United States
- Language:
- English
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