Non-perturbative approximation schemes for the operator product expansion via the functional renormalization group

这个项目的目的是详细研究量子和统计场论的两种非微扰方法之间的关系：泛函重整化群和算符乘积展开。在泛函重整化群的框架下，基于我们最近提出的两种形式，提出了新的算子乘积展开的近似方案。为了获得全面的理解，该项目包括通过补充方法对某些统计模型进行明确的研究。

This project aims to investigate in detail the relation between two non-perturbative approaches to quantum and statistical field theory: the functional renormalization group and the operator product expansion. In the framework of the functional renormalization group, novel approximation schemes for the operator product expansion are proposed building on two formalisms recently put forward by us. To obtain a full understanding, the project includes the explicit study of certain statistical models via complementary methods.