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

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

1998-02-23

arxiv.org/abs/hep-th/9802157v1

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, LaTex and 6 Feynman diagrams are not included

Scientific paper

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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