ON THE ONE-LOOP CORRECTION OF φ⁴ THEORY IN HIGHER DIMENSIONS

We consider in this paper φ⁴ theory in higher dimensions. Using functional diagrammatic approach, we compute the one-loop correction to effective potential of the scalar field in five dimensions. It is shown that φ⁴ theory can be regularized in five dimensions. Temperature dependent one-loop correction and critical temperature β_c are computed and β_c depends on the fundamental scale of the theory. A brief discussion of symmetry restoration is also presented. The nature of phase transitions is examined and is of second order.