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 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.