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Renormalization of pionless effective field theory in the A-body sector
The European Physical Journal A ( IF 2.6 ) Pub Date : 2020-04-23 , DOI: 10.1140/epja/s10050-020-00097-w
M. Drissi , T. Duguet , V. Somà

Current models of inter-nucleon interactions are built within the frame of Effective Field Theories (EFTs). Contrary to traditional nuclear potentials, EFT interactions require a renormalization of their parameters in order to derive meaningful estimations of the observables. In this paper, a renormalization procedure is designed in connection with many-body approximations applicable to large-\(\mathrm {A}\) systems and formulated within the frame of many-body perturbation theory. The procedure is shown to generate counterterms that are independent of the targeted \(\mathrm {A}\)-body sector. As an example, the procedure is applied to the random phase approximation. This work constitutes one step towards the design of a practical EFT for many-body systems.

中文翻译:

A体领域中无子有效场理论的重新归一化

当前的核子间相互作用模型建立在有效场论(EFT)的框架内。与传统的核潜能相反,EFT相互作用需要对其参数进行重新归一化,以便得出对可观测物的有意义的估计。在本文中,结合适用于大型\(\ mathrm {A} \)系统的多体逼近设计了一种重归一化程序,并在多体摄动理论的框架内制定了该规范化程序。该过程显示出生成独立于目标\(\ mathrm {A} \)- body区段的反条件。作为示例,该过程被应用于随机相位近似。这项工作构成了为多体系统设计实用EFT的第一步。
更新日期:2020-04-23
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