论文标题

顶点功能及其流动方程2PI有效动作

Vertex functions and their flow equations from the 2PI effective action

论文作者

Millington, Peter, Saffin, Paul M.

论文摘要

通过利用两粒子 - 毫无疑问(2PI)的有效作用的凸度,我们描述了提取N点顶点函数的过程。此过程是在零维的“量子场理论”的背景下开发的,随后扩展到更高的维度。这些结果扩展了最新的功能重归其化组计划的可实用性和实用性[请参见ARXIV:1907.06503; ARXIV:2107.12914],并阐明耦合参数和顶点的流程方程之间的关系。

By exploiting the convexity of the two-particle-irreducible (2PI) effective action, we describe a procedure for extracting n-point vertex functions. This procedure is developed within the context of a zero-dimensional "quantum field theory" and subsequently extended to higher dimensions. These results extend the practicability and utility of a recent, alternative approach to the functional renormalization group programme [see arXiv:1907.06503; arXiv:2107.12914], and clarify the relationship between the flow equations for coupling parameters and vertices.

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