隐式和显式重整化：有效相互作用的两种互补观点
Implicit and explicit renormalization: two complementary views of effective interactions
摘要：
定量分析了核物理中显式重整化和隐式重整化的相互作用。通过显式重整化，我们的意思是整合出更高的能量模式，低于一个给定的截止尺度使用相似重整化群（SRG）与块对角演化生成器，它分离的总希尔伯特空间到一个模型空间和它的互补。在隐式重整化中，我们在低能量下为截止理论施加给定的条件。在这两种情况下，我们比较了有效的相互作用作为功能的截止尺度。我们进行了全面的分析，玩具模型捕捉的主要特点，核子核子（NN）的S波相互作用在低能量。我们发现一个广泛的能源区域，这两种方法重叠。这等于极大地简化了有效相互作用的确定。实际上，结果的尺度是在预期的轻核物理相关的。
英文摘要：
We analyze quantitatively the interplay between explicit and implicit renormalization in Nuclear Physics. By explicit renormalization we mean to integrate out higher energy modes below a given cutoff scale using the similarity renormalization group (SRG) with a block-diagonal evolution generator, which separates the total Hilbert-space into a model space and its complementary. In the implicit renormalization we impose given conditions at low energies for a cutoff theory. In both cases we compare the outcoming effective interactions as functions of the cutoff scale. We carry out a comprehensive analysis of a toy-model which captures the main features of the nucleon-nucleon (NN) S-wave interaction at low energies. We find a wide energy region where both approaches overlap. This amounts to a great simplification in the determination of the effective interaction. Actually, the outcoming scales are within the expected ones relevant for the physics of light nuclei.
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