Bosonization of the lowest Landau level in arbitrary dimensions: Edge and bulk dynamics
Bosonization of the lowest Landau level in arbitrary dimensions: Edge and bulk dynamics
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任意维度最低朗道能级的玻色化：边缘和体动力学
DOI：
10.1016/j.nuclphysb.2006.05.030
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
D. Karabali
中科院分区：
文献类型：
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作者：
D. Karabali
在高维量子霍尔效应的框架下，讨论了非相对论费米子与非阿贝尔规范场在最低朗道能级上相互作用的玻色子化。玻色子作用是一维矩阵作用，也可以写成非交换场论，在wn变换下不变。通常的规范变换应该被实现为wn变换的要求提供了一个Seiberg-Witten映射的模拟，它允许我们纯粹地用玻色子场来表示作用。描述高维非阿贝尔量子霍尔液滴的规范相互作用的半经典极限，产生了一个体chen - simons型项，其异常完全被一个以手性规范Wess-Zumino-Witten作用形式给出的边界项所抵消。
We discuss the bosonization of nonrelativistic fermions interacting with non-Abelian gauge fields in the lowest Landau level in the framework of higher-dimensional quantum Hall effect. The bosonic action is a one-dimensional matrix action, which can also be written as a noncommutative field theory, invariant under WNtransformations. The requirement that the usual gauge transformation should be realized as a WNtransformation provides an analog of a Seiberg–Witten map, which allows us to express the action purely in terms of bosonic fields. The semiclassical limit of this, describing the gauge interactions of a higher-dimensional, non-Abelian quantum Hall droplet, produces a bulk Chern–Simons type term whose anomaly is exactly canceled by a boundary term given in terms of a chiral, gauged Wess–Zumino–Witten action.