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Embedding of the Non-Commutative CP(1) Model as a Gauge Theory

本文正式版本已出版,請見:10.6122/CJP.20141027C

並列摘要


In the present research we have evaluated the constraint structure of the CP(1) model in non-commutative (NC) space. Although most of the theories with first class constraint are passed on 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 auxiliary fields, which in turn converts the second class constraints into first class ones. Finally we investigate the partition function of this model and show that it is ready to quantize in the usual way.

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