A Possible Lattice Chiral Gauge Theory

Details A Possible Lattice Chiral Gauge Theory A Possible Lattice Chiral Gauge Theory

1996-09-20

arxiv.org/abs/hep-lat/9609037v2

Physics

High Energy Physics

High Energy Physics - Lattice

26 pages, Latex, sections 1 and 5 are revised

Scientific paper

We analyze the dynamics of an $SU_L(2)\otimes U_R(1)$ chiral gauge theory on a lattice with a large multifermion coupling $1\ll g_2 < \infty$. It is shown that no spontaneous symmetry breaking occurs; the ``spectator'' fermion $\psi_R(x)$ is a free mode; doublers are decoupled as massive Dirac fermions consistently with the chiral gauge symmetry. Whether right-handed three-fermion states disappear and chiral fermions emerge in the low-energy limit are discussed. Provided right-handed three-fermion states disappear, we discuss the chiral gauge coupling, Ward identities, the gauge anomaly and anomalous $U_L(1)$ global current within the gauge-invariant prescription of renormalization of the gauge perturbation theory.

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