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28 March 2024
 
  » arxiv » hep-lat/9804018

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Dynamical Linked Cluster Expansions: A Novel Expansion Scheme for Point-Link-Point-Interactions
H. Meyer-Ortmanns ; T. Reisz ;
Date 14 Apr 1998
Journal Int.J.Mod.Phys. A14 (1999) 947-986
Subject hep-lat cond-mat hep-th
AbstractDynamical 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.
Source arXiv, hep-lat/9804018
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