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- W2091723651 abstract "The quantum Hall system is known to have two mutually dual Chern-Simons descriptions, one associated with the hydrodynamics of the electron fluid, and another associated with the statistics. Recently, Susskind has made the claim that the hydrodynamic Chern-Simons theory should be considered to have a non-commutative gauge symmetry. The statistical Chern-Simons theory has a perturbative momentum expansion. In this paper, we study this perturbation theory and show that the effective action, although commutative at leading order, is non-commutative. This conclusion is arrived at through a careful study of the three-point function of Chern-Simons gauge fields. The non-commutative gauge symmetry of this system is thus a quantum symmetry, which we show can only be fully realized only through the inclusion of all orders in perturbation theory. We discuss the duality between the two non-commutative descriptions." @default.
- W2091723651 created "2016-06-24" @default.
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- W2091723651 date "2002-10-01" @default.
- W2091723651 modified "2023-09-30" @default.
- W2091723651 title "Non-commutative Chern–Simons for the quantum Hall system and duality" @default.
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- W2091723651 doi "https://doi.org/10.1016/s0550-3213(02)00616-8" @default.
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