A Lattice Chiral Gauge Theory with Multifermion Couplings

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Analyzing an $SU_L(2)$-chiral gauge theory with external multifermion couplings, we find a possible scaling region where doublers decouple by acquiring chiral-invariant masses and $ψ_R$ is free mode owing to the $ψ_R$-shift-symmetry, the chiral continuum theory of $ψ^i_L$ can be defined. This is not in agreement with the general belief of the failure of theories so constructed .
9 pages, latex and three figures upon request. eqs. (10) and (11) have been changed into correct propagators instead of inverse propagators

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