Key points are not available for this paper at this time.
A derivation of Sompolinsky's result (1981) for the long range spin glass is given starting from the set of Thouless-Anderson-Palmer (TAP) equations. No replicas are used. To describe the system at successive levels of averaging (over successive time scales or associated TAP solutions) the method introduces an infinite sequence of fluctuating local fields.
Sommers et al. (Thu,) studied this question.