The galaxy-galaxy correlation function as an indicator of critical phenomena in cosmology

Details The galaxy-galaxy correlation function as an indicator of critical phenomena in cosmology The galaxy-galaxy correlation function as an indicator of critical phenomena in cosmology

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phla..222..177g&link_type=abstract

Physics Letters A, v. 222, p. 177-181.

Physics

11

Scientific paper

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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