Critical Temperature Associated to Symmetry Breaking of Klein--Gordon fields versus Condensation Temperature in a Weakly interacting Bose--Einstein Gas

Physics – Mathematical Physics

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Scientific paper

We deduce the relation between the critical temperature associated to the U(1) symmetry breaking of scalar fields with one--loop correction potential immersed in a thermal bath, and the condensation temperature of the aforementioned system in the thermodynamic limit, within the semiclassical approximation for a weakly interacting bosonic gas with a positive coupling constant. Additionally, we show that the shift in the condensation temperature caused by the coupling constant is independent of the thermal bath.

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