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Title: Phase transition from the symmetry breaking of charged Klein–Gordon fields

We analyze the phase transition associated with the U(1) symmetry breaking of the complex Klein–Gordon (KG) equation with a Mexican–hat scalar field potential up to one loop in perturbations immersed in a thermal bath. We show that the KG equation reduces to a Gross–Pitaevskii like–equation (GP), which also contains the entire information of the phase transition. Indeed, the thermal bath contributions, together with the corresponding U(1) local symmetry, allow us to interpret the resulting GP equation as a charged and finite temperature version of the system. Finally, we obtain the hydrodynamics and consequently, the corresponding thermodynamics, and show that breakdown of the U(1) local symmetry of the KG field into the new version of the GP equation corresponds, under certain circumstances, to a phase transition of the gas into a condensate, superfluid, and/or superconductor.
Authors:
;  [1]
  1. Departamento de Física, Centro de Investigación y de Estudios Avanzados del IPN, A.P. 14-740, 07000 México D.F. (Mexico)
Publication Date:
OSTI Identifier:
22264096
Resource Type:
Journal Article
Resource Relation:
Journal Name: AIP Conference Proceedings; Journal Volume: 1577; Journal Issue: 1; Conference: 5. Leopoldo Garcia-Colin Mexican meeting on mathematical and experimental physics, Mexico City (Mexico), 9-13 Sep 2013; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; 97 MATHEMATICAL METHODS AND COMPUTING; CONDENSATES; EQUATIONS; HYDRODYNAMICS; PERTURBATION THEORY; PHASE TRANSFORMATIONS; SCALAR FIELDS; SUPERCONDUCTORS; SUPERFLUIDITY; SYMMETRY BREAKING; THERMODYNAMICS; U-1 GROUPS