FQHE on curved backgrounds, free fields and large N
FQHE on curved backgrounds, free fields and large N
复制标题
弯曲背景、自由场和大 N 上的 FQHE
DOI：
10.1007/jhep12(2014)086
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发表时间：
2014
影响因子：
5.4
通讯作者：
S. Klevtsov
中科院分区：
文献类型：
--
作者：
F. Ferrari;S. Klevtsov
本文从自由场表象出发，研究了弯曲背景下Laughlin态的自由能。利用度规变化下绿色函数的变换性质计算引力有效作用量，给出了一个简单的论证，从而计算了大磁场中展开式的前三项。Aubin-Yau和Mabuchi泛函分别给出了主导和次主导贡献，而Liouville作用量出现在次-次-主导顺序。我们还推导出一个路径积分表示的其余条款。它们对应于一个相关的相互作用标量场理论的大质量展开，因此由曲率不变量的局部多项式给出。
A bstractWe study the free energy of the Laughlin state on curved backgrounds, starting from the free field representation. A simple argument, based on the computation of the gravitational effective action from the transformation properties of Green functions under the change of the metric, allows to compute the first three terms of the expansion in large magnetic field. The leading and subleading contributions are given by the Aubin-Yau and Mabuchi functionals respectively, whereas the Liouville action appears at next-to-next-to-leading order. We also derive a path integral representation for the remainder terms. They correspond to a large mass expansion for a related interacting scalar field theory and are thus given by local polynomials in curvature invariants.