Gauged Lifshitz scalar field theories in two dimensions

Details Gauged Lifshitz scalar field theories in two dimensions Gauged Lifshitz scalar field theories in two dimensions

2011-02-16

arxiv.org/abs/1102.3250v1

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

We present two-dimensional gauged Lifshitz scalar field theories by considering the duality relation between the source current and the Noether current. Requiring the duality partially, we obtain a gauged model which recovers the bosonized Schwinger model for the IR limit. For the exact duality, however, the source current is not conserved, which means that the resulting theory is anomalous, so that the number of degrees of freedom is increased. The second model is consistently formulated by adding the Wess-Zumino type action to maintain the gauge invariance.

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