Mabuchi谱的小超空间计算
Minisuperspace computation of the Mabuchi spectrum
摘要：
最近的研究表明，除了传统的Liouville作用量外，在共形规范下的二维量子引力的引力作用量中还出现了其它泛函，其中最重要的是Mabuchi泛函.在一封信中，我们为这个理论提出了一个小超空间作用量，并用它来实现正则量子化。我们发现Mabuchi理论的哈密顿量与Liouville理论的哈密顿量相等，因此在这种近似下谱函数和关联函数是匹配的。在本文中，我们提供的动机来支持我们的猜想。
英文摘要：
It was shown recently that, beside the traditional Liouville action, other functionals appear in the gravitational action of two-dimensional quantum gravity in the conformal gauge, the most important one being the Mabuchi functional. In a letter we proposed a minisuperspace action for this theory and used it to perform its canonical quantization. We found that the Hamiltonian of the Mabuchi theory is equal to the one of the Liouville theory and thus that the spectrum and correlation functions match in this approximation. In this paper we provide motivations to support our conjecture.
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