Laughlin态和库仑气体的Liouville微扰理论
Liouville perturbation theory for Laughlin state and Coulomb gas
摘要：
我们考虑在大量粒子$N$的限制下，球上Laughlin态的生成泛函（归一化因子的对数）。这个问题被重新表述在一个微扰展开的二维QFT，类似于刘维场论。我们开发了一个模拟的刘维尔环微扰理论，这使我们能够定量地研究生成功能的任意光滑度规和一个非均匀磁场超出领先的订单大$N$。
英文摘要：
We consider the generating functional (logarithm of the normalization factor) of the Laughlin state on a sphere, in the limit of a large number of particles $N$. The problem is reformulated in terms of a perturbative expansion of a 2d QFT, resembling the Liouville field theory. We develop an analog of the Liouville loop perturbation theory, which allows us to quantitatively study the generating functional for an arbitrary smooth metric and an inhomogeneous magnetic field beyond the leading orders in large $N$.
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