SHORT-RANGE SPIN GLASSES
Contributed by: C.M. Newman (Courant Inst.) and D.L. Stein (Univ. Arizona), Sept. 18, 1998.
Consider a simple Edwards-Anderson Ising spin glass, which is an Ising model on Zd, whose nearest neighbor couplings are independent, identically distributed random variables with mean zero and finite variance (e.g., Gaussian). In the absence of an external magnetic field, the following are open questions (all statements below are understood to apply to almost every coupling realization):