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

通过函数重正化群进行算子乘积展开的非微扰近似方案

• 批准号: 416523172
• 负责人: Dr. Carlo Pagani
• 金额: --
• 依托单位: Kobe University
• 依托单位国家: 德国
• 项目类别: Research Grants
• 财政年份: 2018
• 资助国家: 德国
• 起止时间: 2017-12-31 至 2019-12-31
• 项目状态: 已结题
• 来源: https://gepris.dfg.de/gepris/projekt/416523172?language=en
• 关键词: Non; perturbative; approximation; schemes; operator

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.

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。

项目成果

Operator product expansion coefficients in the exact renormalization group formalism

精确重整化群形式中的算子乘积展开系数

• DOI: 10.1103/physrevd.101.105007
• 发表时间: 2020
• 期刊: Physical Review D
• 影响因子: 5
• 作者: C. Pagani;H. Sonoda
• 通讯作者: H. Sonoda

Operator product expansion coefficients from the nonperturbative functional renormalization group

• DOI: 10.1103/physrevd.105.065020
• 发表时间: 2021-10
• 期刊: Physical Review D
• 影响因子: 5
• 作者: F. Rose;C. Pagani;N. Dupuis