U(1) Chiral gauge theory on lattice with gauge-fixed domain wall fermions

Physics – High Energy Physics – High Energy Physics - Lattice

Scientific paper

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Lattice 2000 (Chiral Gauge Theories), 8 pages, 7 ps figures, minor changes

Scientific paper

10.1016/S0920-5632(01)00911-2

We investigate a U(1) lattice chiral gauge theory with domain wall fermions and gauge fixing. In the reduced model limit, our perturbative and numerical investigations at Yukawa coupling y=1 show that there are no extra mirror chiral modes. The longitudinal gauge degrees of freedom have no effect on the free domain wall fermion spectrum consisting of opposite chiral modes at the domain wall and the anti-domain wall which have an exponentially damped overlap. Our numerical investigation at small Yukawa couplings also leads to similar conclusions as above.

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