S. Aoki et H. Hirose, PERTURBATIVE STUDY FOR DOMAIN-WALL FERMIONS IN 4+1 DIMENSIONS, Physical review. D. Particles and fields, 54(5), 1996, pp. 3471-3487
We investigate a U(1) chiral gauge model in 4+1 dimensions formulated
on the lattice via the domain-wall method. We calculate an effective a
ction for smooth background gauge fields at a fermion one-loop level.
From this calculation we discuss properties of the resulting four-dime
nsional theory, such as gauge invariance of two-point functions, gauge
anomalies, and an anomaly in the fermion number current.