Galilean DKP theory and Bose–Einstein condensation

•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.

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.