Coulomb branch of the topological field theory of a Bose-Einstein condensate: Casimir kinetic term and other effects
In this paper we study the topological field theory of a Bose-Einstein condensate. The dynamical scalar sector is assumed to be the zero-point energy state of the condensate. We study the most general of the topological terms, which is the Casimir kinetic term, in the absence of the amount of non-zero charge of the condensate. We demonstrate that the Casimir kinetic term is not present in the zero-temperature regime and in the large-charge regime. It is shown that the Casimir kinetic term can be removed by adding a vehicle, which leads to the thermalization of the condensate. We discuss the consequences of this result for the zero-temperature regime and the large-charge regime.