高阶导数CP(N)模型与诱导Chern-Simons项的量子化
高能物理 - 理论
2009-10-31 v4 介观与纳米尺度物理
高能物理 - 格点
高能物理 - 唯象学
摘要
我们考虑了2+1维中带有Wess-Zumino-Witten项和拓扑流密度平方项的高阶导数CP(N)模型。我们使用路径积分方法中的辅助规范场表述来量子化该理论,并证明了扩展模型在大N极限下保持可重整性。我们发现,在非平凡紫外不动点处,大N有效作用量中动态诱导了Maxwell-Chern-Simons理论。还讨论了Chern-Simons项的量子化。
引用
@article{arxiv.hep-th/0006163,
title = {Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term},
author = {Taichi Itoh and Phillial Oh},
journal= {arXiv preprint arXiv:hep-th/0006163},
year = {2009}
}
备注
8 pages, no figure, a minor change in abstract, added Comments on the quantization of the Chern-Simons term whose coefficient is also corrected, and some references are added. Some typos are corrected. Added a new paragraph checking the equivalence between (3) and (5), and a related reference