Journal
PHYSICAL REVIEW LETTERS
Volume 102, Issue 23, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.102.230502
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Funding
- FWF
- European Union [FIS2006-04885]
- ESF
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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 Z(2) 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 >= 4, and to show that computing the partition function of the 4D Z(2) LGT is computationally hard (#P hard). The 4D Z(2) LGT is also proved to be approximately complete for Abelian continuous models. The proof uses techniques from quantum information.
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