A positive definite action for O(3)-symmetric vacuum decay that reduces to the standard tunneling potential method when O(4) symmetry is restored.
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In excursion set theory with colored noises, the low-mass tail of the PBH mass function differs from Carr's formula because correlated noises end the degeneracy of formation probabilities, though Carr's formula remains practical near the characteristic mass for smooth Fourier-space window functions.
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A positive definite formulation of vacuum decay with reduced symmetry
A positive definite action for O(3)-symmetric vacuum decay that reduces to the standard tunneling potential method when O(4) symmetry is restored.
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Primordial black holes in excursion set theory: Formation probabilities, mass functions, and window functions
In excursion set theory with colored noises, the low-mass tail of the PBH mass function differs from Carr's formula because correlated noises end the degeneracy of formation probabilities, though Carr's formula remains practical near the characteristic mass for smooth Fourier-space window functions.