Document Detail


Unifying all classical spin models in a lattice gauge theory.
MedLine Citation:
PMID:  19658914     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
The partition function of all classical spin models, including all discrete standard statistical models and all Abelian discrete lattice gauge theories (LGTs), is expressed as a special instance of the partition function of the 4D Z2 LGT. This unifies all classical spin models with apparently very different features in a single complete model. This result is applied to establish a new method to compute the mean-field theory of Abelian discrete LGTs with d > or = 4, and to show that computing the partition function of the 4D Z2 LGT is computationally hard (#P hard). The 4D Z2 LGT is also proved to be approximately complete for Abelian continuous models. The proof uses techniques from quantum information.
Authors:
G De las Cuevas; W Dür; H J Briegel; M A Martin-Delgado
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Publication Detail:
Type:  Journal Article     Date:  2009-06-11
Journal Detail:
Title:  Physical review letters     Volume:  102     ISSN:  0031-9007     ISO Abbreviation:  Phys. Rev. Lett.     Publication Date:  2009 Jun 
Date Detail:
Created Date:  2009-08-07     Completed Date:  2009-08-25     Revised Date:  -    
Medline Journal Info:
Nlm Unique ID:  0401141     Medline TA:  Phys Rev Lett     Country:  United States    
Other Details:
Languages:  eng     Pagination:  230502     Citation Subset:  -    
Affiliation:
Institut für Theoretische Physik, Universität Innsbruck, Technikerstrasse 25, A-6020 Innsbruck, Austria.
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