Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
1999-10-09
Physics
High Energy Physics
High Energy Physics - Theory
19 pages in ReVTeX, 3 embedded eps figures, minor correction was made between eq.(50) and (51), one reference is added
Scientific paper
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 $\Omega$ as opposed to the free-particle nature.
Lee Hyun Woo
Myung Yun Soo
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