标题： 量子刘维尔场理论作为流动方程的解 显示英文标题

标题： Quantum Liouville Field Theory as Solution of a Flow Equation

摘要： 一个通过精确的重整化群方程来实现Liouville场理论的Weyl不变量子化的通用框架被提出。 这个流方程描述了有效平均作用量的尺度依赖性，该作用量具有内置的红外截断。 对于c<1，通过作用泛函空间的截断近似求解。 我们推导了在存在红外截断的情况下与Weyl变换相关的Ward恒等式。 它们被用来选择重整化群轨迹的一个特定普遍类，该轨迹被发现连接两个中心荷分别为25-c和26-c的共形场理论。 显示英文摘要

摘要： A general framework for the Weyl invariant quantization of Liouville field theory by means of an exact renormalization group equation is proposed. This flow equation describes the scale dependence of the effective average action which has a built-in infrared cutoff. For c<1 it is solved approximately by a truncation of the space of action functionals. We derive the Ward identities associated to Weyl transformations in presence of the infrared cutoff. They are used to select a specific universality class for the renormalization group trajectory which is found to connect two conformal field theories with central charges 25-c and 26-c, respectively.