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Study of symmetry breaking of charged scalar field: Hydrodynamic version

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).

preprint2014arXivOpen access
T. MatosMario A. Rodríguez-Meza
astro-ph.CO
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T. MatosMario A. Rodríguez-Meza

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