THE PAULI TERM AS A GENERATOR OF FRACTIONAL SPIN

Abstract

In this work, we show that contrary to what is commonly accepted by the community, the Chern–Simons term is not essential to fractional statistics. A Lagrangian whose dynamics is governed only by the Pauli term coupled to matter fields leads to the fractional spin. Despite its simplicity, development of this Lagrangian gives rise to essentially the same terms that appear in Chern–Simons models, such as those reported by Nobre and Almeida.13,8,9