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Renormalization Group Calculation of the Galaxy-Galaxy Correlation Function

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

The observable Universe is described by a collection of equal mass galaxies linked into a common unit by their mutual gravitational interaction. The partition function of this system is cast in terms of Ising model spin variables and maps exactly onto a three-dimensional stochastic scalar classical field theory. The full machinery of the renormalization group and critical phenomena is brought to bear on this field theory allowing one to calculate the galaxy-galaxy correlation function, whose critical exponent is predicted to be between 1.530 to 1.862, compared to the phenomenological value of 1.6 to 1.8

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J. Pérez-Mercader, T. Goldman, D. Hochberg, R. Laflamme. 1995-09-08. Renormalization Group Calculation of the Galaxy-Galaxy Correlation Function. https://arxiv.org/abs/gr-qc/9509016

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