标题： 向复数（有理数）次幂的自由场，广义$βγ$系统和非多项式量子场论 显示英文标题

标题： Towards complex(rational) powers of free fields, generalized $βγ$ systems and non-polynomial quantum field theory

摘要： $\beta\gamma$系统通过场的复(有理)幂进行推广，这导致了在 Fock 空间上的相应扩展。 提出了两种计算物理算符的 Green 函数的方法。 首先通过积分表示定义复(有理)幂，这使得可以计算共形块、Green 函数和 OPA 的结构常数。 接着开发了一种基于 Green 函数递归方程组的方法。 找到了该系统的一系列解。 简要讨论了许多可能的应用。 显示英文摘要

摘要： The $\beta\gamma$ system is generalized by complex(rational) powers of the fields, which leads to a corresponding extension on the Fock space. Two different approaches to compute the Green functions of the physical operators are proposed. First the complex(rational) powers are defined via an integral representation,that allows to compute the conformal blocks, Green functions and structure constants of OPA. Next an approach based on a system of recursion equations for the Green functions is developed. A number of solutions of the system is found. A lot of possible applications is briefly discussed.