Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
1998-04-14
Int.J.Mod.Phys. A14 (1999) 947-986
Physics
High Energy Physics
High Energy Physics - Lattice
41 pages, latex2e, 10 postscript figures
Scientific paper
10.1142/S0217751X99000476
Dynamical linked cluster expansions are linked cluster expansions with hopping parameter terms endowed with their own dynamics. This amounts to a generalization from 2-point to point-link-point interactions. We develop an associated graph theory with a generalized notion of connectivity and describe an algorithmic generation of the new multiple-line graphs. We indicate physical applications to spin glasses, partially annealed neural networks and SU(N) gauge Higgs systems. In particular the new expansion technique provides the possibility of avoiding the replica-trick in spin glasses. We consider variational estimates for the SU(2) Higgs model of the electroweak phase transition. The results for the transition line, obtained by dynamical linked cluster expansions, agree quite well with corresponding high precision Monte Carlo results.
Meyer-Ortmanns Hildegard
Reisz Thomas
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