Galilean DKP theory and Bose–Einstein condensation

This work is devoted to the development of Galilean Duffin–Kemmer–Petiau (DKP) theory at finite temperature and to the study of Bose–Einstein condensation (BEC). This DKP-like theory is formulated in a 5-dimensional manifold, in which the Galilei-covariant first-order wave equations represent the co...

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Bibliographic Details
Published in:Physica A 2015-02, Vol.419, p.612-621
Main Authors: Abreu, L.M., Gadelha, Alexandre L., Pimentel, B.M., Santos, E.S.
Format: Article
Language:English
Subjects:
Algebra
Bose–Einstein condensation
Condensing
DKP theory
Fields (mathematics)
Formalism
Galilean covariance
Mathematical analysis
Representations
Schroedinger equation
Statistical mechanics
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Summary:This work is devoted to the development of Galilean Duffin–Kemmer–Petiau (DKP) theory at finite temperature and to the study of Bose–Einstein condensation (BEC). This DKP-like theory is formulated in a 5-dimensional manifold, in which the Galilei-covariant first-order wave equations represent the covariant version of the Schrödinger and non-relativistic vector field equations. The thermodynamics is studied within the Matsubara (imaginary-time) formalism, and BEC is analyzed in both spin-0 and spin-1 sectors of the theory, by using the appropriate representation of Galilean DKP algebra. •Bose–Einstein condensation is studied in Galilean DKP theory at finite temperature.•Typical Methods of Finite-Temperature Field Theory are employed.•Thermodynamical behavior of spin-0 and spin-1 sectors of the theory is analyzed.•Phase transition is characterized without necessity of taking non-relativistic limit.
ISSN:0378-4371
1873-2119
DOI:10.1016/j.physa.2014.10.049