Currents, Anomaly, Solitons and Fractional Fermions

Abstract

Let us start with a Lagrangian density $\mathcal{L}$ = $\mathcal{L}$ (φ, ∂ _µ , φ) where the φ is a scalar field. We write φ _µ for the space-time derivative. We may have a set of independent fields φⁱ and their derivatives φ ⁱ _µ . where i runs over the field indices when there are more than one field. Sometimes we will drop this index i.