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Effective potential for »Ж4 theory at finite temperature in R x SD-1 and R x HD-1 // Tomsk State Pedagogical University Bulletin. 2004. Issue 7 (44). P. 99-109

We calculate the explicit expression of the effective potential in а »Ж4 theory at finite temperature in a static universe for arbitrary spacetime dimensions (2dDin R x SD-1 and R x HD-1. The phase structure of a »Ж4 theory is found by observing the minimum of the effective potential with varying temperature and scale factor. All the ring diagrams are resummed for De4 to improve the loop expansion at high temperature. For a conformaily coupled and a minimally coupled scalar field it is shown that temperature and positive curvature suppress the symmetry breaking, while negative curvature enhances it. The conformaily coupled scalar has larger curvature effects than the minimally coupled one.