The galaxy-galaxy correlation function as an indicator of critical phenomena in cosmology |
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Authors: | T. Goldman,D. Hochberg,R. Laflamme,J. Pé rez-Mercader |
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Affiliation: | 1. Theoretical Division, Los Alamos National Laboratory, Los Alamos, NM 87545, USA;2. Laboratorio de Astrofísica Espacial y Física Fundamental, Apartado 50727, 28080 Madrid, Spain |
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Abstract: | We approximate the observable Universe by a collection of equal mass galaxies linked into a many body system by their mutual gravitational interaction. Under the assumptions of (i) nonrelativistic approximation and (ii) global quasi-equilibrium, the partition function of this system can be cast in terms of Ising model spin variables and maps exactly onto a three-dimensional 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-to-galaxy correlation function, whose critical exponent is predicted to be between 1.530 to 1.862, to be compared to the phenomenological/observational value of 1.6 to 1.8. |
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