Embedding of the Non-Commutative CP(۱) Model as a Gauge Theory

چکیده مقاله

In the present research we have evaluated the constraint structure of the CP(1) model in non-commutative (NC) space. Although most theories haverst class constraints and are classed as gauge theories, the CP(1) model in non-commutative space is not a gauge theory, due to the appearance of second class constraints. The NC CP(1) model is converted to a gauge theory by using the BFT method by introducing some auxiliaryelds, which in turn converts the second class constraints intorst class ones. Finally we investigate the partition function of this model and show that it is ready to quantize in the usual way.