Domain-wall fermions with U(1) dynamical gauge fields
- Institute of Physics, University of Tsukuba, Tsukuba, Ibaraki 305 (Japan)
We carry out a numerical simulation of a toy domain-wall model in 2+1 dimensions, in the presence of a U(1) dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a (two-dimensional) physical gauge coupling. Using a quenched approximation we investigate this model at {beta}{sub {ital s}}(=1/{ital g}{sup 2}{sub {ital s}})= 0.5 ({open_quote}{open_quote}symmetric{close_quote}{close_quote} phase), 1.0, and 5.0 ({open_quote}{open_quote}broken{close_quote}{close_quote} phase), where {ital g}{sub {ital s}} is the gauge coupling constant of the extra dimension. In the broken phase, we find that there exists a critical value of the domain-wall mass {ital m}{sup {ital c}}{sub 0} which separates a region with a fermionic zero mode on the domain wall from one without it. In the symmetric phase the critical value of the domain wall mass seems to exist but is very close to its upper bound {ital m}{sub 0}=1. Because of the difficulty observed in the numerical simulation near {ital m}{sub 0}=1 we cannot conclude in the symmetric phase either the existence of the chiral zero mode at {ital m}{sub 0}{ge}{ital m}{sup {ital c}}{sub 0} or the realization of the layered phase. {copyright} {ital 1996 The American Physical Society.}
- OSTI ID:
- 284067
- Journal Information:
- Physical Review, D, Vol. 53, Issue 9; Other Information: PBD: May 1996
- Country of Publication:
- United States
- Language:
- English
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