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Non-perturbative methods for NN singular interactions
The European Physical Journal Special Topics ( IF 2.8 ) Pub Date : 2021-06-06 , DOI: 10.1140/epjs/s11734-021-00149-2
D. R. Entem , J. A. Oller

Chiral Effective Field Theory (\(\chi \)EFT) has been extensively used to study the NN interaction during the last three decades. In Effective Field Theories (EFTs) the renormalization is performed order by order including the necessary counter terms. Due to the strong character of the NN interaction a non-perturbative resummation is needed. In this work, we will review some of the methods proposed to completely remove cut-off dependencies. The methods covered are renormalization with boundary conditions, renormalization with one counter term in momentum space (or equivalently subtractive renormalization) and the exact N/D method. The equivalence between the methods up to one renormalization condition will be checked showing results in the NN system. The exact N/D method allows to go beyond the others, and using a toy model it is shown how it can renormalize singular repulsive interactions.



中文翻译:

NN奇异相互作用的非微扰方法

在过去的三年中,手性有效场理论 ( \(\chi \) EFT) 已被广泛用于研究NN相互作用。在有效场论 (EFT) 中,重整化是按顺序执行的,包括必要的反项。由于NN交互的强特性,需要非微扰恢复。在这项工作中,我们将回顾一些提出的完全消除截止依赖关系的方法。涵盖的方法包括边界条件重整化、动量空间中一个反项的重整化(或等效的减法重整化)和精确的N / D方法。将检查最多一个重整化条件的方法之间的等效性,以显示NN系统中的结果。精确的N / D方法允许超越其他方法,并使用玩具模型展示了它如何重新规范化奇异排斥相互作用。

更新日期:2021-06-07
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