Undoubled Chiral Fermions on a Lattice

Details Undoubled Chiral Fermions on a Lattice Undoubled Chiral Fermions on a Lattice

1996-07-21

arxiv.org/abs/hep-lat/9607047v1

Nucl.Phys.Proc.Suppl. 53 (1997) 668-670

Physics

High Energy Physics

High Energy Physics - Lattice

Talk presented at LATTICE96 (chiral gauge), Latex

Scientific paper

10.1016/S0920-5632(96)00749-9

We analyze the dynamics of an $SU_L(2)\otimes U_R(1)$ chiral theory on the lattice with a strong multifermion coupling. It is shown that no spontaneous symmetry breaking occurs; the ``spectator'' fermion $\psi_R$ is a free mode; doublers are decoupled as massive Dirac fermions consistently with the chiral symmetries. In 1+1 dimension, we show that the right-handed three-fermion state disappears at the threshold and an undoubled left-handed chiral fermion remains in the continuum limit.

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