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

Abstract

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 ${\beta }_s(=1/g_s^2)=$ 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.

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

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Cited by in corpus (6)

• Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance
• Weak coupling expansion of a chiral gauge theory on a lattice in the overlap formulation
• Perturbative study for domain-wall fermions in 4+1 dimensions
• Lattice perturbation theory in the overlap formulation for the Yukawa and gauge interactions
• Chiral zero modes on the domain-wall model in 4+1 dimensions
• The domain-wall model in an asymptotic-free dynamics