The Effect of Dynamical Gauge Field on the Chiral Fermion on a boundary

Details The Effect of Dynamical Gauge Field on the Chiral Fermion on a boundary The Effect of Dynamical Gauge Field on the Chiral Fermion on a boundary

1994-05-17

arxiv.org/abs/hep-lat/9405014v1

Mod.Phys.Lett. A9 (1994) 1755-1766

Physics

High Energy Physics

High Energy Physics - Lattice

16 pages (including 7 figures), LaTeX, UT-675, KEK-TH-393

Scientific paper

We study the effect of dynamical gauge field on the Kaplan's chiral fermion on a boundary in the strong gauge coupling limit in the extra dimension. To all orders of the hopping parameter expansion, we prove exact parity invariance of the fermion propagator on the boundary. This means that the chiral property of the boundary fermion, which seems to survive even in the presence of the gauge field from a perturbative point of view, is completely destroyed by the dynamics of the gauge field.

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