Exact Finite Size Results on the Ising Model in 2D Curved Space

Details Exact Finite Size Results on the Ising Model in 2D Curved Space Exact Finite Size Results on the Ising Model in 2D Curved Space

1993-01-14

arxiv.org/abs/hep-th/9301057v1

Physics

High Energy Physics

High Energy Physics - Theory

18 pages (uses LaTeX and epsf), 6 figures included (4 in postscript files encoded through uufiles), PUPT-1367

Scientific paper

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 {\em 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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