Exact Finite Size Results on the Ising Model in 2D Curved Space
Abstract
We propose an approach to statistical systems on lattices with sphere-like topology. Focusing on the Ising model, we consider the thermodynamic limit along a sequence of lattices which preserve the fixed large scale geometry. The hypothesis of scaling appears to hold at criticality, pointing at a sensible definition of the continuum limit of the model in the curved space.
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