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arXiv · hep-th/9910083

Noncommutative Geometry and Anyonic Field Theory in the Magnetic Field

H. W. Lee·Y. S. Myung
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Abstract

We consider an easy way to get the noncommutative spacetime in Minkowski space. This corresponds to introducing a magnetic field ${\rm\bf B} = B \hat {\rm\bf k}$ in the plane. We construct a green's function in coordinate space which includes a Moyal phase factor. The projection to the lowest Landau level(LLL) is necessary for a simple calculation. Using this green's function and a second quantized formalism, we study the thermodynamic property of the anyons on the noncommutative geometry. It turns out that the Moyal phase factors contribute to the thermodynamic potential $Ω$ as opposed to the free-particle nature.

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H. W. Lee, Y. S. Myung. 1999-10-13. Noncommutative Geometry and Anyonic Field Theory in the Magnetic Field. https://arxiv.org/abs/hep-th/9910083

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