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

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

2001-05-30

arxiv.org/abs/hep-lat/0105032v2

Phys.Rev. D65 (2002) 074504

Physics

High Energy Physics

High Energy Physics - Lattice

46 pages, LaTeX, references added and updated, minor text corrections

Scientific paper

10.1103/PhysRevD.65.074504

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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