Dirac Quantization of a Nonminimal Gauged O(3) Sigma Model

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.

Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling

“…Over the years, in the context of models with nonminimal coupling between the scalar and the gauge field, several works appeared in the literature; see Refs. [18][19][20][21][22][23][24][25][26][27][28][29]. In particular, in Ref.…”

“…[21,25,27], nonrelativistic models were studied, and in Refs. [24,28,29], the authors investigated vortices in Oð3Þ-sigma models, which may support both topological and nontopological profiles.…”

Vortices in Maxwell-Chern-Simons-Higgs models with nonminimal coupling

“…Over the years, in the context of models with nonminimal coupling between the scalar and the gauge field, several works appeared in the literature; see Refs. [18][19][20][21][22][23][24][25][26][27][28][29]. In particular, in Ref.…”

“…[21,25,27], nonrelativistic models were studied, and in Refs. [24,28,29], the authors investigated vortices in O(3)-sigma models, which may support both topological and non-topological profile.…”