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arxiv: 1112.4399 · v1 · pith:YOMYZA2Onew · submitted 2011-12-19 · 🧮 math.PR · math-ph· math.MP

Exact bosonization of the Ising model

Julien Dub\'edat This is my paper
classification 🧮 math.PR math-phmath.MP
keywords isingbosonizationcorrelatorsexactfieldfreemodelanalysis
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We present exact combinatorial versions of bosonization identities, which equate the product of two Ising correlators with a free field (bosonic) correlator. The role of the discrete free field is played by the height function of an associated bipartite dimer model. Some applications to the asymptotic analysis of Ising correlators are discussed.

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  1. Bosonization of primary fields for the critical Ising model on multiply connected planar domains

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    Proves bosonization identities for critical Ising correlations in finitely-connected planar domains via limiting Hejhal-Fay identity and OPEs, yielding expressions in terms of period matrix, Green's function and Abeli...