BoseEinstein condensate dark matter phase transition from finite temperature symmetry breaking of KleinGordon fields
Abstract
In this paper, the thermal evolution of scalar field dark matter (SFDM) particles at finite cosmological temperatures is studied. Starting with a real SF in a thermal bath and using the oneloop quantum corrections potential, we rewrite KleinGordon's equation in its hydrodynamical representation and study the phase transition of this SF due to a Z_{2} symmetry breaking of its potential. A very general version of a nonlinear Schrödinger equation is obtained. When introducing Madelung's representation, the continuity and momentum equations for a nonideal SFDM fluid are formulated, and the cosmological scenario with the SFDM described in analogy to an imperfect fluid is then considered where dissipative contributions are obtained in a natural way. Additional terms appear in the results compared to those in the classical version commonly used to describe the ΛCDM model, i.e., the ideal fluid. The equations and parameters that characterize the physical properties of the system such as its energy, momentum and viscous flow are related to the temperature of the system, scale factor, Hubble's expansion parameter and the matter energy density. Finally, some details on how galaxy halos and smaller structures might be able to form by condensation of this SF are given.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 February 2014
 DOI:
 10.1088/02649381/31/4/045015
 arXiv:
 arXiv:1103.5731
 Bibcode:
 2014CQGra..31d5015S
 Keywords:

 98.80.k;
 95.53.+d;
 67.85.Hj;
 cosmology;
 dark matter theory;
 cosmological phase transitions;
 BoseEinstein condensates;
 General Relativity and Quantum Cosmology;
 Astrophysics  Cosmology and Extragalactic Astrophysics;
 Condensed Matter  Other Condensed Matter;
 High Energy Physics  Theory
 EPrint:
 Substantial changes have been made to the paper, following the referees recommendations. 16 pages. Published in Classical and Quantum Gravity