CLASSICAL AND QUANTAL NONRELATIVISTIC CHERN-SIMONS THEORY

被引：471

作者：

JACKIW, R ^{[1
]}

PI, SY ^{[1
]}

机构：

[1] ROCKEFELLER UNIV,NEW YORK,NY 10021

来源：

PHYSICAL REVIEW D | 1990年 / 42卷 / 10期

关键词：

D O I：

10.1103/PhysRevD.42.3500

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We construct a nonrelativistic field theory for the second-quantized N-body system of point particles with Chern-Simons interactions. Various properties of this model are discussed: its obvious and hidden symmetries, its relation to a relativistic field theory, and its supersymmetric formulation. We present classical, static solutions solitons that satisfy a self-dual equation, which is equivalent to the Liouville equation; hence, it is completely solvable. The dynamical role of the Chern-Simons interaction is demonstrated: the interaction does not merely change statistics but also provides the forces that bind the classical solitons. © 1990 The American Physical Society.

引用

页码：3500 / 3513

页数：14

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