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Renormalization Group Calculation of the Galaxy-Galaxy Correlation Function

1995/09/08 by J. Pérez-Mercader, Juan Pérez‐Mercader, T. Goldman +8
Economics, Econometrics and Finance · Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Systems and Time Series Analysis #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Theoretical and Computational Physics #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/9509016

Based on a talk presented at the International Workshop on Elementary Particle Physics, Valencia, Spain, June 1995. Six pages using the macro which is appended at the end of the paper. Runs using standard LaTex 2.09. Strip off this macro and place in separate file to be named sprocl.sty

arxiv created 1995/09/08 · openalex publication_date 1995/09/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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