A Lattice Chiral Theory with Multifermion Couplings

Details A Lattice Chiral Theory with Multifermion Couplings A Lattice Chiral Theory with Multifermion Couplings

1996-05-03

arxiv.org/abs/hep-lat/9605003v1

Phys.Lett. B381 (1996) 277-285

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages and 1 figure, a revised version to appear in Phys. Lett. B

Scientific paper

Analyzing an $SU_L(2)\otimes U_R(1)$ chiral theory with multifermion couplings on a lattice, we find a possible region in the phase space of multifermion couplings, where no spontaneous symmetry breaking occurs, doublers are decoupled as massive Dirac fermions consistently with the $SU_L(2)\otimes U_R(1)$ chiral symmetry, the ``spectator'' fermion $\psi_R(x)$ is free mode, whereas the normal mode of $\psi^i_L(x)$ is plausibly speculated to be chiral in the continuum limit. This is not in agreement with the general belief of the definite failure of theories so constructed.

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