Quantum corrections to false vacuum decay in the Coleman-Weinberg potential

Physics

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Spontaneous Breaking Of Gauge Symmetries, Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

We determine corrections numerically to the low-momentum expansion of the effective action in scenarios for quantum tunneling based on a Coleman-Weinberg effective potential. We find in a one-dimensional example that although high-momentum components can significantly change the shape of the potential which governs the tunneling from that of the effective potential, the tunneling rate, which is related to an integral over the square root of the potential, is hardly affected by these corrections. In four dimensions, the high-momentum corrections to the potential are quite small and do not affect the tunneling rate greatly.

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