Abelian Chern-Simons term in superfluid 3He-A

被引:37
作者
Goryo, J [1 ]
Ishikawa, K [1 ]
机构
[1] Hokkaido Univ, Dept Phys, Sapporo, Hokkaido 060, Japan
关键词
D O I
10.1016/S0375-9601(98)00438-1
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We show in this paper that an Abelian Chern-Simons term is induced in (2 + 1)- and (3 + 1)-dimensional rotating superfluid He-3-A and that it plays an important role in its dynamics. Because U(1) symmetry is spontaneously broken in He-3-A, a Goldstone mode appears and contributes to the induced Chern-Simons term. We found that the coefficient of the Chern-Simons term, which is equivalent to Hall conductance, depends on an infra-red cut-off of the Goldstone mode, and that the orbital angular momentum of He-3-A in a cylinder geometry is derived from the Chern-Simons term. (C) 1998 Elsevier Science B.V.
引用
收藏
页码:549 / 559
页数:11
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