Undoubled Chiral Fermions on a Lattice
Abstract
We analyze the dynamics of an SU L(2)⊗ U R(1) chiral theory on the lattice with a strong multifermion coupling. It is shown that no spontaneous symmetry breaking occurs; the "spectator" fermion ψR is a free mode; doublers are decoupled as massive Dirac fermions consistently with the chiral symmetries. In 1+1 dimension, we show that the right-handed three-fermion state disappears at the threshold and an undoubled left-handed chiral fermion remains in the continuum limit.
- Publication:
-
Nuclear Physics B Proceedings Supplements
- Pub Date:
- February 1997
- DOI:
- 10.1016/S0920-5632(96)00749-9
- arXiv:
- arXiv:hep-lat/9607047
- Bibcode:
- 1997NuPhS..53..668X
- Keywords:
-
- High Energy Physics - Lattice;
- High Energy Physics - Phenomenology;
- High Energy Physics - Theory
- E-Print:
- Talk presented at LATTICE96 (chiral gauge), Latex