Bipartite dimer representation of squared 2d-Ising correlations
classification
🧮 math-ph
cond-mat.stat-mechmath.MPmath.PR
keywords
bipartitecorrelationsd-isingdimerdisorderidentitiesorderproof
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The Bozonisation identities of [Dub11] show that squared 2d-Ising order and disorder correlations are equal to +- the ratio of bipartite dimer partition functions. In this self-contained paper, we give another proof of these identities using the approach of [BdT14]. Our proof is more direct and allows to keep track of order and disorder in XOR-Ising configurations.
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