Classical and quantal nonrelativistic Chern-Simons theory.
Classical and quantal nonrelativistic Chern-Simons theory.
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DOI：
10.1103/physrevd.42.3500
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发表时间：
1990-11
期刊：
影响因子：
--
通讯作者：
R. Jackiw;S. Pi
中科院分区：
文献类型：
--
作者：
R. Jackiw;S. Pi
本文构造了具有Chern-Simons相互作用的点粒子二次量子化{italN}体系统的非相对论场论。这个模型的各种属性进行了讨论：其明显的和隐藏的对称性，它的关系，相对论性场论，其超对称制定。我们提出了经典的，静态的解决方案-孤子-满足自对偶方程，这是等价的刘维尔方程，因此，它是完全可解的。陈-西蒙斯相互作用的动力学作用的证明：相互作用不仅改变统计，但也提供了约束经典孤子的力量。
We construct a nonrelativistic field theory for the second-quantized {ital 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.