In the paper Angelini M C et al (2013 Phys. Rev. B 87 134201) we introduced a real-space renormalization group called ensemble renormalization group (ERG) and we applied it to the Edwards–Anderson model, obtaining estimates for the critical exponents in good agreement with those from Monte Carlo simulations. Recently the paper Castellana M (2019 J. Phys. A: Math. Theor. 52 445002) re-examined the ERG method from a different perspective, concluding that the previous results were wrong, and claiming that the ERG method predicts trivially wrong critical exponents. In this comment we explain why the conclusions reached by Castellana are wrong, as they are based on a misinterpretation of finite-size effects. We conclude that the ERG method remains a good RG method to obtain critical exponents in strongly disordered models (if properly used).

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评论“分层自旋眼镜的实空间重归一化组方法”

在论文Angelini MC等人（2013 Phys。Rev. B 87 134201）中，我们引入了一个称为集合重整化组（ERG）的实空间重整化组，并将其应用于Edwards-Anderson模型，从而获得了对关键指数的估计。与蒙地卡罗模拟的结果很好的吻合。最近，论文Castellana M（2019 J.Phys.A：Math.Theor。52 445002）从不同的角度重新审视了ERG方法，认为先前的结果是错误的，并声称ERG方法预测的是关键错误的微不足道的指数。 。在这篇评论中，我们解释了为什么Castellana得出的结论是错误的，因为这些结论是基于对有限大小效应的误解。我们得出的结论是，ERG方法仍然是在严重无序的模型（如果正确使用）中获取关键指数的良好RG方法。