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

Joonhyun Yeo, M. A. Moore

Published 2016-10-18Version 1

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 the inequalities needed for their validity. He is just pointing out that they gave a 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 a perturbative approach, and does not deal with the lack of a perturbative fixed point found by Bray and Roberts [J. Phys. C {\bf 13}, 5405 (1980)] long ago.