3-DIMENSIONAL X-Y MODEL WITH A CHERN-SIMONS TERM

We introduce a model where a Chern-Simons term is coupled to the three -dimensional x-y model. This term endows vortices with an internal ang ular momentum and thus they acquire arbitrary. statistical character. In our interpretation of the Chern-Simons term in the three-dimensiona l x-y model, it takes an integer value that can be written as a sum ov er all vortex lines of the product of the vortex charge and the windin g number of the internal phase angle along that vortex line. We have u sed the Monte Carlo method to study the three-dimensional x-y model wi th,the Chern-Simons term. Our findings suggest that this model belongs to the x-y universality class with the critical temperature growing w ith increasing internal angular momentum.