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

High Energy Physics - Theory 2016-09-06 v1 High Energy Physics - Lattice High Energy Physics - Phenomenology

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 (p0p\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(p4)O(p^4). 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

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