Adding Gauge Fields to Kaplan's Fermions

Details Adding Gauge Fields to Kaplan's Fermions Adding Gauge Fields to Kaplan's Fermions

1993-12-09

arxiv.org/abs/hep-lat/9312045v2

Nucl.Phys.Proc.Suppl. 34 (1994) 575-578

Physics

High Energy Physics

High Energy Physics - Lattice

AZPH-TH/93-34, Lattice'93 poster,4 pages postscript

Scientific paper

10.1016/0920-5632(94)90450-2

We experiment with adding dynamical gauge field to Kaplan (defect) fermions. In the case of U(1) gauge theory we use an inhomogenous Higgs mechanism to restrict the 3d gauge dynamics to a planar 2d defect. In our simulations the 3d theory produce the correct 2d gauge dynamics. We measure fermion propagators with dynamical gauge fields. They posses the correct chiral structure. The fermions at the boundary of the support of the gauge field (waveguide) are non-chiral, and have a mass two times heavier than the chiral modes. Moreover, these modes cannot be excited by a source at the defect; implying that they are dynamically decoupled. We have also checked that the anomaly relation is fullfilled for the case of a smooth external gauge field. This is an uuencoded ps-file. Use 'uudecode hepchiral.ps.Z' and 'uncompress hepchiral.ps.Z' to produce the psfile.

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