Eur. Phys. J. C (2011) 71: 1840
https://doi.org/10.1140/epjc/s10052-011-1840-x

Regular Article - Theoretical Physics

Gauged Lifshitz scalar field theories in two dimensions

¹ Research Institute for Basic Science, Sogang University, Seoul, 121-742, South Korea
² Department of Physics, Sogang University, Seoul, 121-742, South Korea
³ Center for Quantum Spacetime, Sogang University, Seoul, 121-742, South Korea

^* e-mail: wtkim@sogang.ac.kr

Received: 13 July 2011
Published online: 17 December 2011

Abstract

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.