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Title: Instantons for vacuum decay at finite temperature in the thin wall limit
Author: Garriga Torres, Jaume
Keywords: Teoria de camps (Física)
Partícules (Física nuclear)
Transformacions de fase (Física estadística)
Field theory (Physics)
Particles (Nuclear physics)
Phase transformations (Statistical physics)
Issue Date: 1994
Publisher: Published for the American Physical Society by the American Institute of Physics
Abstract: In [ital N]+1 dimensions, false vacuum decay at zero temperature is dominated by the O([ital N]+1)-symmetric instanton, a sphere of radius [ital R][sub 0], whereas at temperatures [ital T][much gt][ital R][sub 0][sup [minus]1], the decay is dominated by a cylindrical'' (static) O([ital N])-symmetric instanton. We study the transition between these two regimes in the thin wall approximation. Taking an O([ital N])-symmetric ansatz for the instantons, we show that for [ital N]=2 and [ital N]=3 new periodic solutions exist in a finite temperature range in the neighborhood of [ital T][similar to][ital R][sub 0][sup [minus]1]. However, these solutions have a higher action than the spherical or the cylindrical one. This suggests that there is a sudden change (a first order transition) in the derivative of the nucleation rate at a certain temperature [ital T][sub *], when the static instanton starts dominating. For [ital N]=1, on the other hand, the new solutions are dominant and they smoothly interpolate between the zero temperature instanton and the high temperature one, so the transition is of second order. The determinantal prefactors corresponding to the cylindrical'' instantons are discussed, and it is pointed out that the entropic contributions from massless excitations corresponding to deformations of the domainmore » wall give rise to an exponential enhancement of the nucleation rate for [ital T][much gt][ital R][sub 0][sup [minus]1].« less
Note: Reproducció digital del document publicat en format paper, proporcionada per PROLA i
It is part of: Physical Review D, 1994, vol. 49, núm. 10, p. 5497-5506
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ISSN: 0556-2821
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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