(1) School of Engineering and Science, International University Bremen, PO Box 750561, 28725 Bremen, Germany, DE;(2) Innovative Medical Technology Center, Falkenried 88, 20251 Hamburg, Germany, DE
Abstract:
Dynamical linked cluster expansions are linked cluster expansions with hopping parameter terms endowed with their own dynamics.
We discuss physical applications to systems with annealed and quenched disorder. Examples are the bond-diluted Ising model
and the Sherrington-Kirkpatrick spin glass. We derive the rules and identify the full set of graphs that contribute to the
series in the quenched case. This way it becomes possible to avoid the vague extrapolation from positive integer n to n = 0, that usually goes along with an application of the replica trick.
Received 13 December 2001
Published online 25 June 2002