A possible scaling region of chiral fermions on a lattice

Details A possible scaling region of chiral fermions on a lattice A possible scaling region of chiral fermions on a lattice

1996-05-06

arxiv.org/abs/hep-lat/9605005v3

Nucl.Phys. B486 (1997) 282-314

Physics

High Energy Physics

High Energy Physics - Lattice

32 pages, Latex and 5 figures, to appear in Nucl. Phys. B

Scientific paper

10.1016/S0550-3213(96)00641-4

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 $\psi_R(x)$ 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 $\psi_L^i(x)$ 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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