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arxiv: 1307.5913 · v3 · pith:NJYGN3LLnew · submitted 2013-07-23 · 🧮 math-ph · math.MP

On the diagonal susceptibility of the 2D Ising model

classification 🧮 math-ph math.MP
keywords diagonalsusceptibilityisingmodeltemperatureunitbelowboundary
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We consider the diagonal susceptibility of the isotropic 2D Ising model for temperatures below the critical temperature. For a parameter k related to temperature and the interaction constant, we extend the diagonal susceptibility to complex k inside the unit disc, and prove the conjecture that the unit circle is a natural boundary.

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