Bipartite dimer representation of squares of 2d-Ising correlations
Annales de l’Institut Henri Poincaré D, Tome 3 (2016) no. 2, pp. 121-138.

�The combinatorial Bosonisation identities of [5] show that the square of 2d-Ising order and disorder correlations are equal to ± the ratio of bipartite dimer partition functions. In this self-contained paper, we give an alternative proof of these identities using the approach of [2]. Our proof is more direct and allows to see the e�ect of order and disorder on XOR-Ising polygon con�gurations.

Accepté le :
Publié le :
DOI : 10.4171/aihpd/26
Classification : 82-XX
Mots-clés : Bipartite dimer model, two-dimensional Ising model, correlation functions, XOR-Ising model 
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     author = {de Tili\`ere, B\'eatrice},
     title = {Bipartite dimer representation of squares of {2d-Ising} correlations},
     journal = {Annales de l{\textquoteright}Institut Henri Poincar\'e D},
     pages = {121--138},
     volume = {3},
     number = {2},
     year = {2016},
     doi = {10.4171/aihpd/26},
     mrnumber = {3506074},
     zbl = {1348.82028},
     language = {en},
     url = {http://archive.numdam.org/articles/10.4171/aihpd/26/}
}
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de Tilière, Béatrice. Bipartite dimer representation of squares of 2d-Ising correlations. Annales de l’Institut Henri Poincaré D, Tome 3 (2016) no. 2, pp. 121-138. doi : 10.4171/aihpd/26. http://archive.numdam.org/articles/10.4171/aihpd/26/

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