Low temperature behavior of short-range Ising spin glasses.

We discuss the static and dynamic properties of the ordered phase of short-range Ising spin glasses, based on a simple Ansatz for the scaling of the low-lying large scale droplet excitations which dominate the long distance and long time correlations. We find that the truncated spatial correlations decay as a power of distance, the ac nonlinear susceptibility diverges as a power of ln omega, and the noise power of the magnetization fluctuations diverges as 1/omega, with logarithmic corrections. A non-zero magnetic field appears to destroy the spin glass phase in 3 dimensions. Defect excitations should yield similar dynamic phenomena in vector spin glasses.