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. The validity and applicability of the traditional continuous formulation is then scrutinized and a continuous formulation for treating RSB in the Parisi gauge directly at T=0 is proposed.
Schmidt
Manuel J
MJ
Institut für Theoretische Physik, Universität Würzburg, Am Hubland, Würzburg, Federal Republic of Germany.
Oppermann
Reinhold
R