TOPOLOGICAL (CHERN-SIMONS) QUANTUM-MECHANICS

被引:266
作者
DUNNE, GV [1 ]
JACKIW, R [1 ]
TRUGENBERGER, CA [1 ]
机构
[1] MIT,DEPT PHYS,CAMBRIDGE,MA 02139
来源
PHYSICAL REVIEW D | 1990年 / 41卷 / 02期
关键词
D O I
10.1103/PhysRevD.41.661
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We construct quantum-mechanical models that are analogs of three-dimensional, topologically massive as well as Chern-Simons gauge-field theories, and we study the phase-space reductive limiting procedure that takes the former to the latter. The zero-point spectra of operators behave discontinuously in the limit, as a consequence of a nonperturbative quantum-mechanical anomaly. The nature of the limit for wave functions depends on the representation, but is always such that normalization is preserved. © 1990 The American Physical Society.
引用
收藏
页码:661 / 666
页数:6
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