Further study of the possible scaling region of lattice chiral fermions - art. no. 054502

In the possible scaling region for an SU(2) lattice chiral fermion advocate d in Nucl. Phys. B486, 282 (1997), no hard spontaneous symmetry breaking oc curs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion states that are formed by local multifermion interactions. H owever, the strong coupling expansion breaks down due to the no "static lim it" for the low-energy limit (pa similar to 0). In both neutral and charged channels, we further analyze the relevant truncated Green functions of thr ee-fermion operators by strong coupling expansion and analytical continuati on of these Green functions in momentum space. It is shown that in the low- energy limit these relevant truncated Green functions of three-fermion stat es with the "wrong" chiralities positively vanish due to the generalized fo rm factors (the wave-function renormalizations) of these composite three-fe rmion states vanishing as O[(pa)(4)] for pa similar to 0. This strongly imp lies that the composite three-fermion states with the "wrong'' chirality ar e "decoupled" in this limit and the low-energy spectrum is chiral; as a con sequence, chiral gauge symmetries can be exactly preserved.