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A high-temperature series expansion for the Edwards and Anderson spin-glass order-parameter susceptibility is computed for Ising spins on hypercubic lattices with nearest-neighbor interactions. The series is analyzed by Pad\'e approximants with Rudnick-Nelson-type corrections to scaling. The results agree with the first-order expansion of Harris, Lubensky, and Chen. The critical exponent ₐ increases monotonically with decreasing dimension, d, for d<6, and apparently tends to infinity at d=4; however, the critical temperature does not appear to go to zero at d=4.
Fisch et al. (Mon,) studied this question.
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