期刊
NUCLEAR PHYSICS B
卷 642, 期 3, 页码 483-500出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/S0550-3213(02)00616-8
关键词
-
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 hydrodynamical 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 through the inclusion of all orders in perturbation theory. We discuss the duality between the two non-commutative descriptions. (C) 2002 Published by Elsevier Science B.V.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据