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Reply to 'Comment on 'Critical Point Scaling of Ising Spin Glasses in a Magnetic Field' '

机译:回复“评论”Ising旋转眼镜的临界点尺度   磁场“”

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摘要

In his Comment, Temesv\'{a}ri objects to a remark in our paper [Phys.\ Rev.\B {\bf 91}, 104432 (2015)] that his result for the form of the Almeida-Thouless(AT) line obtained in an earlier paper with Parisi [Nucl.\ Phys.\ B {\bf 858},293 (2012)] in six dimensions can be obtained by taking the limit of $d \to 6$in the equations valid for $d>6$, but that this violated one of theinequalities needed for their validity. He is just pointing out that they gavea derivation of the form of the AT line in six dimensions in [Nucl.\ Phys.\ B{\bf 858}, 293 (2012)] which avoided this difficulty. However, it is still aperturbative approach, and does not deal with the lack of a perturbative fixedpoint found by Bray and Roberts [J. Phys. C {\bf 13}, 5405 (1980)] long ago.
机译:Temesv \'{a} ri在他的评论中反对我们的论文[Phys。\ Rev. \ B {\ bf 91},104432(2015)]中的一句话,即他对Almeida-Thouless(AT )可以通过在有效的方程式中将$ d \限制为6 $来获得Parisi [Nucl。\ Phys。\ B {\ bf 858},293(2012)]在六个维度上获得的线。 $ d> 6 $,但这违反了其有效性所需的不等式之一。他只是在[Nucl。\ Phys。\ B {\ bf 858},293(2012)]中指出了他们在六个维度上给出了AT线形式的衍生,从而避免了这一困难。但是,它仍然是微扰方法,不能解决Bray和Roberts所发现的缺乏摄动定点的问题[J.物理C {\ bf 13},5405(1980)]很久以前。

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    Yeo, Joonhyun; Moore, M. A.;

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