Abelian Chern-Simons Term in Superfluid 3He-A
Superconductivity
2010-11-19 v2 High Energy Physics - Theory
Abstract
We show in this paper that Abelian Chern-Simons term is induced in 2+1 and 3+1 dimensional rotating superfluid He-A and plays important roles in its dynamics. Because U(1) symmetry is spontaneously broken in He-A, Goldstone mode appears and contributes to induced Chern-Simons term. We found that the coefficient of 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-A in a cylinder geometry is derived from Chern-Simons term.
Keywords
Cite
@article{arxiv.cond-mat/9712294,
title = {Abelian Chern-Simons Term in Superfluid 3He-A},
author = {J. Goryo and K. Ishikawa},
journal= {arXiv preprint arXiv:cond-mat/9712294},
year = {2010}
}
Comments
16 pages, 2 figures, LaTeX, minor points are changed, references are added. Accepted for publication in Physics Letters A