Dirac quantization of a nonminimal gauged O(3) sigma model

TL;DR

This paper performs Dirac quantization of a (2+1)D gauged O(3) sigma model with Chern-Simons term, analyzing the effects of nonminimal Pauli coupling on constraints and quantum relations.

Contribution

It introduces and quantizes a nonminimal Pauli coupling in the gauged O(3) sigma model, revealing modifications in constraints and independence of quantum commutators from the Chern-Simons coefficient.

Findings

Nonminimal coupling modifies the set of constraints.

Quantum commutators are independent of the Chern-Simons coefficient in the nonminimal case.

The model's canonical structure is affected by the Pauli term.

Abstract

The (2+1) dimensional gauged O(3) nonlinear sigma model with Chern-Simons term is canonically quantized. Furthermore, we study a nonminimal coupling in this model implemented by means of a Pauli-type term. It is shown that the set of constraints of the model is modified by the introduction of the Pauli coupling. Moreover, we found that the quantum commutator relations in the nominimal case is independent of the Chern-Simons coefficient, in contrast to the minimal one.