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arXiv · hep-lat/9605005

A possible scaling region of chiral fermions on a lattice

She-Sheng Xue
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Abstract

We present the details of analyzing an $SU_L(2)\otimes U_R(1)$ chiral theory with multifermion couplings on a lattice. An existence of a possible scaling region in the phase space of multifermion couplings for defining the continuum limit of chiral fermions is advocated. In this scaling region, no spontaneous symmetry breaking occurs; the ``spectator'' fermion $ψ_R(x)$ is a free mode and decoupled; doublers are decoupled as massive Dirac fermions consistently with the $SU_L(2)\otimes U_R(1)$ chiral symmetry, whereas the normal mode of $ψ_L^i(x)$ 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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She-Sheng Xue. 1996-11-18. A possible scaling region of chiral fermions on a lattice. https://doi.org/10.1016/s0550-3213(96)00641-4

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