Study of symmetry breaking of charged scalar field: Hydrodynamic version

10th Workshop of the Gravitation and Mathematical Physics Division, Mexican Physical Society

物理学;数学

Matos, T.^1 ; Rodríguez-Meza, M.A.^2

Departamento de Física, Centro de Investigación y de Estudios Avanzados Del IPN, A.P. 14-740, Mexico City

07000, Mexico^1

Departamento de Física, Instituto Nacional de Investigaciones Nucleares, Apdo. Postal 18-1027, México, D.F.

11801, Mexico^2

关键词: Bose-Einstein condensates;    Finite temperatures;    First law;    G-P equation;    Klein-Gordon;    Scalar fields;    Symmetry-breaking;    Thermal bath;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/545/1/012009/pdf
DOI  :  10.1088/1742-6596/545/1/012009

来源: IOP

【 摘 要 】

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).