Self-consistent bounce

An improved nucleation rate

Yoav Bergner, Luís M A Bettencourt

Research output: Contribution to journalArticle

Abstract

We generalize the standard computation of homogeneous nucleation theory at zero temperature to a scenario in which the bubble shape is determined self-consistently with its quantum fluctuations. Studying two scalar models in 1 +1 dimensions, we find the self-consistent bounce by employing a two-particle irreducible effective action in imaginary time at the level of the Hartree approximation. We thus obtain an effective single bounce action which determines the rate exponent. We use collective coordinates to account for the translational invariance and the growth instability of the bubble and finally present a new nucleation rate prefactor. We compare the results with those obtained using the standard 1-loop approximation and show that the self-consistent rate can differ by several orders of magnitude.

Original languageEnglish (US)
Article number045012
JournalPhysical Review D
Volume69
Issue number4
DOIs
StatePublished - 2004

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nucleation
bubbles
Hartree approximation
invariance
exponents
scalars
approximation
temperature

ASJC Scopus subject areas

  • Physics and Astronomy (miscellaneous)

Cite this

Self-consistent bounce : An improved nucleation rate. / Bergner, Yoav; Bettencourt, Luís M A.

In: Physical Review D, Vol. 69, No. 4, 045012, 2004.

Research output: Contribution to journalArticle

Bergner, Yoav ; Bettencourt, Luís M A. / Self-consistent bounce : An improved nucleation rate. In: Physical Review D. 2004 ; Vol. 69, No. 4.
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