Method for replica symmetry breaking at and near T=0 with application to the Sherrington-Kirkpatrick model.

We describe a method which allows the treatment of high orders of replica symmetry breaking (RSB) at low temperatures as well as at T=0 directly, without a need for approximations or scaling assumptions. It yields the low-temperature order function q(a,T) in the full range 0 < or = a < infinity and is complete in the sense that all observables can be calculated from it. The behavior of some observables and the finite RSB theory itself is analyzed as the continuous RSB limit is approached.