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Whether composite fermion states with ``wrong'' chiralities dissolve into cuts

She-Sheng Xue
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Abstract

In the possible scaling region for lattice chiral fermions advocated in hep-lat/9609037, no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion-states. However the strong coupling expansion breaks down due to no ``static limit'' for the low-energy limit ($p\sim 0$). We further analyze relevant Green functions of three-fermion-operators. It is shown that in the low-energy limit, the propagators of three-fermion-states with the ``wrong'' chiralities positively vanish due to the generalized form factors (the wave-function renormalizations) of these composite states vanishing as $O(p^4)$. This strongly implies that three-fermion-states with ``wrong'' chirality are ``decoupled'' in this limit.

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She-Sheng Xue. 1998-02-23. Whether composite fermion states with ``wrong'' chiralities dissolve into cuts. https://arxiv.org/abs/hep-th/9802157

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