On the NCCS model of the quantum Hall fluid

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dc.creatorEliashvili, M.
dc.creatorTsitsishvili, G.
dc.date2006-06-30
dc.date2007-03-21
dc.date.accessioned2026-07-07T11:06:47Z
dc.date.available2026-07-07T11:06:47Z
dc.descriptionArea non-preserving transformations in the non-commutative plane are introduced with the aim to map the $ν=1$ integer quantum Hall effect (IQHE) state on the fractional quantum Hall effect (FQHE) $ν=\frac{1}{2p+1}$ FQHE states. Using the hydrodynamical description of the quantum Hall fluid, it is shown that these transformations are generated by vector fields satisfying the Gauss law in the interacting non-commutative Chern-Simons gauge theory, and the corresponding field-theory Lagrangian is reconstructed. It is demonstrated that the geometric transformations induce quantum-mechanical non-unitary similarity transformations, establishing the interplay between integral and fractional QHEs.
dc.description4 pages, no figures, minor corrections, accepted in Eur. Phys. J. C
dc.identifierhttps://arxiv.org/abs/hep-th/0606286
dc.identifierhttp://arxiv.org/abs/hep-th/0606286
dc.identifierEur.Phys.J.C50:1013-1017,2007
dc.identifierdoi:10.1140/epjc/s10052-007-0265-z
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/189633
dc.subjectHigh Energy Physics - Theory
dc.titleOn the NCCS model of the quantum Hall fluid
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