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Reply to comment on ‘Real-space renormalization-group methods for hierarchical spin glasses’
Journal of Physics A: Mathematical and Theoretical ( IF 2.1 ) Pub Date : 2020-09-17 , DOI: 10.1088/1751-8121/ab8671
Michele Castellana

In their comment, Angelini et al object to the conclusion of (2019 J. Phys. A: Math. Theor. 52 445002), where we show that in (2013 Phys. Rev. B 87 134201) the exponent ν has been obtained by applying a mathematical relation in a regime where this relation is not valid. We observe that the criticism above on the mathematical validity of such relation has not been addressed in the comment. Our criticism thus remains valid, and disproves the conclusions of the comment. This constitutes the main point of this reply. In addition, we provide a point-by-point response and discussion of Angelini et al ’s claims. First, Angelini et al claim that the prediction 2 1/ ν = 1 of (2019 J. Phys. A: Math. Theor . 52 445002) is incorrect, because it results from the relation λ max = 2 1/ ν between the largest eigenvalue of the linearized renormalization-group (RG) transf...

中文翻译:

对“分层自旋眼镜的实空间重归一化组方法”的评论回复

Angelini等人在其评论中反对(2019 J. Phys。A:Math。Theor。52 445002)的结论,其中我们表明在(2013 Phys。Rev. B 87 134201)中,通过在无效的方案中应用数学关系。我们观察到,以上对这种关系的数学有效性的批评并未在评论中解决。因此,我们的批评仍然有效,并且反驳了评论的结论。这构成了此答复的重点。此外,我们对Angelini等人的主张进行了逐点答复和讨论。首先,Angelini等人声称(2019 J. Phys。A:Math。Theor。52 445002)的预测2 1 /ν= 1是不正确的,
更新日期:2020-09-20
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