1999/10/09 by H. W. Lee, Lee, H. W., Y. S. Myung +1
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th
paper · pdf · doi:10.48550/arxiv.hep-th/9910083
19 pages in ReVTeX, 3 embedded eps figures, minor correction was made between eq.(50) and (51), one reference is added
arxiv created 1999/10/13 · arxiv updated 2009/11/30
We consider an easy way to get the noncommutative spacetime in Minkowski space. This corresponds to introducing a magnetic field \rm\bf B = B \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.