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

共 32 条

[21]

Anker D., Freeman N., Proc. R. Soc. London, 360 A, (1978)

[22]

Barducci A., Casalbuoni R., Lusanna L., Nuovo Cimento A, 35, (1976)

[23]

Jackiw R., Phys. Rev. D, 29, (1984)

[24]

Jackiw R., Phys. Rev. D, 33, (1986)

[25]

Girvin S., MacDonald A., Fisher M., Rey S.-J., Sethna J., Phys. Rev. Lett., 65, (1990)

[26]

Hong J., Kim Y., Pac P.-Y., Phys. Rev. Lett., 64, (1990)

[27]

Jackiw R., Weinberg E., Phys. Rev. Lett., 64, (1990)

[28]

Lee C.-K., Lee K.-Y., Weinberg E., Phys. Lett. B, 243, (1990)

[29]

Jackiw R., Lee K.-Y., Weinberg E., Phys. Rev. D, 42, (1990)

[30]

Khare A., (1990)

← 1 2 3 4 →