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arXiv · hep-ph/9311353

The Exact Critical Bubble Free Energy and the Effectiveness of Effective Potential Approximations

David Brahm·Clarence L. Y. Lee
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Abstract

To calculate the temperature at which a first-order cosmological phase transition occurs, one must calculate $F_c(T)$, the free energy of a critical bubble configuration. $F_c(T)$ is often approximated by the classical energy plus an integral over the bubble of the effective potential; one must choose a method for calculating the effective potential when $V''<0$. We test different effective potential approximations at one loop. The agreement is best if one pulls a factor of $μ^4/T^4$ into the decay rate prefactor [where $μ^2 = V''(ϕ_f)$], and takes the real part of the effective potential in the region $V''<0$. We perform a similar analysis on the 1-dimensional kink.

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David Brahm, Clarence L. Y. Lee. 1993-11-24. The Exact Critical Bubble Free Energy and the Effectiveness of Effective Potential Approximations. https://doi.org/10.1103/physrevd.49.4094

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