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We discuss the phenomena of symmetry non-restoration and inverse symmetrybreaking in the context of multi-scalar field theories at finite temperaturesand present its consequences for the relativistic Higgs-Kibble multi-fieldsector as well as for a nonrelativistic model of hard core spheres. Forrelativistic scalar field models, it has been shown previously that temperatureeffects on the couplings do not alter, qualitatively, the phase transitionpattern. Here, we show that for the nonrelativistic analogue of these modelsinverse symmetry breaking, as well as symmetry non-restoration, cannot takeplace, at high temperatures, when the temperature dependence of the two-bodycouplings is considered. However, the temperature behavior in thenonrelativistic models allows for the appearance of reentrant phases.Comment: 20 pages, 12 eps figure

Phase transition patterns in relativistic and nonrelativistic multi-scalar-field models