Domain-wall fermions with $U(1)$ dynamical gauge fields

Details Domain-wall fermions with $U(1)$ dynamical gauge fields Domain-wall fermions with $U(1)$ dynamical gauge fields

1995-08-22

arxiv.org/abs/hep-lat/9508023v1

Phys.Rev. D53 (1996) 5058-5068

Physics

High Energy Physics

High Energy Physics - Lattice

27 pages (11 figures), latex (epsf style-file needed)

Scientific paper

10.1103/PhysRevD.53.5058

We have carried out a numerical simulation of a domain-wall model in $(2+1)$-dimensions, in the presence of a dynamical gauge field only in an extra dimension, corresponding to the weak coupling limit of a ( 2-dimensional ) physical gauge coupling. Using a quenched approximation we have investigated this model at $\beta_{s} ( = 1 / g^{2}_{s} ) =$ 0.5 ( ``symmetric'' phase), 1.0, and 5.0 (``broken'' phase), where $g_s$ is the gauge coupling constant of the extra dimension. We have 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 both symmetric and broken phases. This result suggests that the domain-wall method may work for the construction of lattice chiral gauge theories.

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