1999/10/31 by She-Sheng Xue · 1 citation
Physics and Astronomy · #Chiral anomaly #Coupling (piping) #Fermion #High-Energy Particle Collisions Research #Homogeneous space #Lattice (music) #Mathematical physics #Particle physics theoretical and experimental studies #Physics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Scaling #hep-lat
paper · pdf · doi:10.1103/physrevd.61.054502
published as Phys.Rev. D61 (2000) 054502 · A few typing-errors, in particular in Eq.50, have been corrected
arxiv created 1999/11/22 · openalex publication_date 2000/01/14 · openalex created_date 2016/06/24 · arxiv updated 2016/09/01 · openalex updated_date 2026/08/05
In the possible scaling region for an SU(2) lattice chiral fermion advocated in Nucl. Phys. B486, 282 (1997), no hard spontaneous symmetry breaking occurs and doublers are gauge-invariantly decoupled via mixing with composite three-fermion states that are formed by local multifermion interactions. However, the strong coupling expansion breaks down due to the no ``static limit'' for the low-energy limit (pa\ensuremath∼0). In both neutral and charged channels, we further analyze the relevant truncated Green functions of three-fermion operators by strong coupling expansion and analytical continuation of these Green functions in momentum space. It is shown that in the low-energy limit these relevant truncated Green functions of three-fermion states with the ``wrong'' chiralities positively vanish due to the generalized form factors (the wave-function renormalizations) of these composite three-fermion states vanishing as O[(pa)4] for pa\ensuremath∼0. This strongly implies that the composite three-fermion states with the ``wrong'' chirality are ``decoupled'' in this limit and the low-energy spectrum is chiral; as a consequence, chiral gauge symmetries can be exactly preserved.