Abstract
The existence of a supercooled phase transition in the very early universe can have important consequences such as inflation. This is often modelled by a Coleman-Weinberg potential. A Monte Carlo simulation is performed in such a potential to produce the phase diagram, and the results suggest that the phase transition is second order for small values of the gauge coupling constant. However, it is possible to establish by heuristic arguments that the universe still supercools provided that the expansion rate satisfies a certain inequality during the phase transition.
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