Whether composite fermion states with ``wrong'' chiralities dissolve into cuts
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 (). 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 . This strongly implies that three-fermion-states with ``wrong'' chirality are ``decoupled'' in this limit.
Keywords
Cite
@article{arxiv.hep-th/9802157,
title = {Whether composite fermion states with ``wrong'' chiralities dissolve into cuts},
author = {She-Sheng Xue},
journal= {arXiv preprint arXiv:hep-th/9802157},
year = {2016}
}
Comments
24 pages, LaTex and 6 Feynman diagrams are not included