Symmetry aspects in non-relativistic multi-scalar field models and application to a coupled two-species dilute Bose gas

摘要

We discuss the unusual aspects of symmetry that can happen due to entropic effects in the context of multi-scalar field theories at finite temperature. We present their consequences, in particular, for the case of non-relativistic models of hard core spheres. We show that for non-relativistic models phenomena like inverse symmetry breaking and symmetry non-restoration cannot take place, but a reentrant phase at high temperatures is shown to be possible for some region of parameters. We then develop a model of interest in studies of BoseEinstein condensation in dilute atomic gases and discuss its phase transition patterns. In this application to a Bose-Einstein condensation model, however, no reentrant phases are found.