Coleman-Weinberg Phase Transition in Two-Scalar Models

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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14 pages, Oxford OUTP 94-14 P, Heidelberg HD-THEP-94-15

Scientific paper

10.1016/0370-2693(95)00045-M

We explore the Coleman-Weinberg phase transition in regions outside the validity of perturbation theory. For this purpose we study a Euclidean field theory with two scalars and discrete symmetry in four dimensions. The phase diagram is established by a numerical solution of a suitable truncation of exact non-perturbative flow equations. We find regions in parameter space where the phase transition (in dependence on the mass term) is of the second or the first order, separated by a triple point. Our quantitative results for the first order phase transition compare well to the standard perturbative Coleman-Weinberg calculation of the effective potential.

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