Influência do termo de Pauli no caráter aniônico da teoria de Chern-Simons acoplada a campos de matéria

Abstract

ln this work we consider the Chem-Simons model coupled to matter fields, in which we add an Pauli-type coupling. The added term can be interpreted as an anomalous magnetic moment coupling. The introduction ofthis term is achieved by adding to the gauge covariant derivative an extra nonminimal contribution, which couples the matter field directly to the field strenght. We present a review ofthe Dirac formalism for constrained systems and this method is used to treat the constraints of the model properly. As gauge fixing condition we choose the Lorentz gauge and we construct the BRST transformations to the model, as well as the BRST current and charge. Using the Dirac bracket method the model is quantized and it-is shown that appears an extra contribution to the rotational property ofthe matter field. Then this formulation is rebuilt for a noncovariant gauge and we note that the sarne modification arises in the anomalous statistic of the model. So we conclude that the inclusion of the anomalous magnetic moment leads to a change in the so called fractional statistics and we discuss an open possibility of the presence of anyons even in the absence Chem-Simons term.