Renormalization Group Calculation of the Galaxy-Galaxy Correlation Function

Details Renormalization Group Calculation of the Galaxy-Galaxy Correlation Function Renormalization Group Calculation of the Galaxy-Galaxy Correlation Function

1995-09-08

arxiv.org/abs/gr-qc/9509016v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Based on a talk presented at the International Workshop on Elementary Particle Physics, Valencia, Spain, June 1995. Six pages

Scientific paper

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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