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arXiv · hep-lat/0105032

Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance

Yoshio Kikukawa
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Abstract

We discuss how to construct anomaly-free chiral gauge theories on the lattice with exact gauge invariance in the framework of domain wall fermion. Chiral gauge coupling is realized by introducing a five-dimensional gauge field which interpolates between two different four-dimensional gauge fields at boundaries. The five-dimensional dependence is compensated by a local and gauge-invariant counter term. The cohomology problem to obtain the counter term is formulated in 5+1 dimensional space, using the Chern-Simons current induced from the five-dimensional Wilson fermion. We clarify the connection to the invariant construction based on the Ginsparg-Wilson relation using overlap Dirac operator. Formula for the measure and the effective action of Weyl fermions are obtained in terms of five-dimensional lattice quantities.

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Yoshio Kikukawa. 2001-06-15. Domain wall fermion and chiral gauge theories on the lattice with exact gauge invariance. https://doi.org/10.1103/physrevd.65.074504

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