Noncommutative Geometry and Anyonic Field Theory in the Magnetic Field

dc.creatorLee, H. W.
dc.creatorMyung, Y. S.
dc.date1999-10-09
dc.date1999-10-13
dc.date.accessioned2026-07-07T04:27:10Z
dc.date.available2026-07-07T04:27:10Z
dc.descriptionWe 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.
dc.description19 pages in ReVTeX, 3 embedded eps figures, minor correction was made between eq.(50) and (51), one reference is added
dc.identifierhttps://arxiv.org/abs/hep-th/9910083
dc.identifierhttp://arxiv.org/abs/hep-th/9910083
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56320
dc.subjectHigh Energy Physics - Theory
dc.titleNoncommutative Geometry and Anyonic Field Theory in the Magnetic Field
dc.typetext

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