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Ising Model formulation of Large Scale Dynamics: Universality in the Universe

J. Perez--Mercader·T. Goldman·D. Hochberg·R. Laflamme
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Abstract

The partition function of a system of galaxies in gravitational interaction can be cast in an Ising Model form, and this reformulated via a Hubbard--Stratonovich transformation into a three dimensional stochastic and classical scalar field theory, whose critical exponents are calculable and known. This allows one to {\it compute\/} the galaxy to galaxy correlation function, whose non--integer exponent is predicted to be between 1.530 and 1.862, to be compared with the phenomenological value of 1.6 to 1.8.

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J. Perez--Mercader, T. Goldman, D. Hochberg, R. Laflamme. 1995-06-27. Ising Model formulation of Large Scale Dynamics: Universality in the Universe. https://arxiv.org/abs/astro-ph/9506127

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