Ising Model formulation of Large Scale Dynamics: Universality in the Universe
Astrophysics
2007-05-23 v1 General Relativity and Quantum Cosmology
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.
Keywords
Cite
@article{arxiv.astro-ph/9506127,
title = {Ising Model formulation of Large Scale Dynamics: Universality in the Universe},
author = {J. Perez--Mercader and T. Goldman and D. Hochberg and R. Laflamme},
journal= {arXiv preprint arXiv:astro-ph/9506127},
year = {2007}
}
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