Chiral zero modes on the domain-wall model in 4+1 dimensions
Abstract
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}
- Authors:
-
- Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)
- Publication Date:
- OSTI Identifier:
- 527089
- Resource Type:
- Journal Article
- Journal Name:
- Physical Review, D
- Additional Journal Information:
- Journal Volume: 56; Journal Issue: 2; Other Information: PBD: Jul 1997
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 66 PHYSICS; UNIFIED GAUGE MODELS; CHIRAL SYMMETRY; UNITARY SYMMETRY; LATTICE FIELD THEORY; DOMAIN STRUCTURE; MANY-DIMENSIONAL CALCULATIONS; NUMERICAL ANALYSIS; U-1 GROUPS; COUPLING CONSTANTS; SIMULATION; WALLS
Citation Formats
Aoki, S, and Nagai, K. Chiral zero modes on the domain-wall model in 4+1 dimensions. United States: N. p., 1997.
Web. doi:10.1103/PhysRevD.56.1121.
Aoki, S, & Nagai, K. Chiral zero modes on the domain-wall model in 4+1 dimensions. United States. https://doi.org/10.1103/PhysRevD.56.1121
Aoki, S, and Nagai, K. 1997.
"Chiral zero modes on the domain-wall model in 4+1 dimensions". United States. https://doi.org/10.1103/PhysRevD.56.1121.
@article{osti_527089,
title = {Chiral zero modes on the domain-wall model in 4+1 dimensions},
author = {Aoki, S and Nagai, K},
abstractNote = {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}},
doi = {10.1103/PhysRevD.56.1121},
url = {https://www.osti.gov/biblio/527089},
journal = {Physical Review, D},
number = 2,
volume = 56,
place = {United States},
year = {Tue Jul 01 00:00:00 EDT 1997},
month = {Tue Jul 01 00:00:00 EDT 1997}
}