Study of symmetry breaking of charged scalar field: Hydrodynamic version
arXiv:1405.6649 · doi:10.1088/1742-6596/545/1/012009
Abstract
We rewrite the Klein-Gordon (KG) equation for a complex scalar field as a new Gross-Pitaevskii (GP)-like equation. The potential of the scalar field is a mexican-hat potential and the field is in a thermal bath with one loop contribution. We interpret the new GP equation as a finite temperature generalization of the GP equation for a charged field. We find its hydrodynamic version as well and using it, we derive the corresponding thermodynamics. We also obtain a generalized first law for a charged Bose-Einstein Condensate (BEC).
5 pages 1 figure, to be published in Journal of Physics: Conference Series (JPCS)