LARGE-SCALE PHYSICS OF THE QUANTUM HALL FLUID

被引:209
作者
FROHLICH, J [1 ]
ZEE, A [1 ]
机构
[1] UNIV CALIF SANTA BARBARA,INST THEORET PHYS,SANTA BARBARA,CA 93106
基金
美国国家科学基金会;
关键词
D O I
10.1016/0550-3213(91)90275-3
中图分类号
O412 [相对论、场论]; O572.2 [粒子物理学];
学科分类号
摘要
We discuss the large-scale physics of incompressible Hall fluids from the point of view of universality and symmetry. We show that, in the scaling limit, incompressible Hall fluids are described by certain topological Chern-Simons gauge theories. The gauge field strengths are dual to conserved currents of the fluid. The Chern-Simons gauge theories unambiguously predict current algebras of chiral edge currents. We describe incompressible Hall fluids exhibiting edge currents which form a non-abelian Kac-Moody current algebra at level 1. Some new incompressible Hall fluids are described. Our analysis is derived from very general physical principles and should therefore lead to reliable results.
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页码:517 / 540
页数:24
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