论文标题
liouville扰动理论的劳伦州和库仑气体
Liouville perturbation theory for Laughlin state and Coulomb gas
论文作者
论文摘要
我们考虑了一个laughlin状态在球体上的生成功能（正常化因子的对数），这是大量粒子$ n $的极限。该问题是根据2D QFT的扰动扩展重新制定的，类似于Liouville田间理论。我们开发了liouville环路摄动理论的类似物，该理论使我们能够定量研究用于任意平滑度量的生成功能和大型$ n $中领先顺序以外的不均匀磁场。
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 $N$.
