Self-consistent bounces in two dimensions

Baacke, Juergen; Kevlishvili, Nina

doi:10.1103/physrevd.71.025008

Cited by 12 publications

(20 citation statements)

References 48 publications

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“…Thus, we anticipate that this methodical development may have numerical applications in the study of the decay rates of radiatively-generated metastable vacua, such as occur in the massless CW model [53] or the Higgs potential of the SM. Similar methods based upon Green's function techniques have been used previously to determine self-consistent bounce solutions numerically in the Hartree approximation of the pure λΦ 4 theory in both two and four dimensions [102][103][104][105].…”

Section: Introductionmentioning

confidence: 99%

Green’s function method for handling radiative effects on false vacuum decay

2015

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We introduce a Green's function method for handling radiative effects on false vacuum decay. In addition to the usual thin-wall approximation, we achieve further simplification by treating the bubble wall in the planar limit. As an application, we take the λΦ 4 theory, extended with N additional heavier scalars, wherein we calculate analytically both the functional determinant of the quadratic fluctuations about the classical soliton configuration and the first correction to the soliton configuration itself.

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Section: Introductionmentioning

confidence: 99%

Green’s function method for handling radiative effects on false vacuum decay

2015

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“…For fixed α, β the tunneling via a homogeneous bounce should shut off with increasing a. The tunneling will then occur via local bounces, as considered recently in the Hartree approximation in [36,37]. The transition rate obtained from the homogeneous bounce, Eq.…”

Section: Parametrization and Parameter Setsmentioning

confidence: 85%

Tunneling in a quantum field theory on a compact one-dimensional space

Baacke

Kevlishvili

2006

Nuclear Physics B

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We compute tunneling in a quantum field theory in 1 + 1 dimensions for a field potential U(Φ) of the asymmetric double well type. The system is localized initially in the "false vacuum". We consider the case of a compact space (S 1 ) and study global tunneling. The process is studied in real-time simulations. The computation is based on the time-dependent Hartree-Fock variational principle with a product ansatz for the wave functions of the various normal modes. While the wave functions of the nonzero momentum modes are treated within the Gaussian approximation, the wave function of the zero mode that tunnels between the two wells is not restricted to be Gaussian, but evolves according to a standard Schrödinger equation. We find that in general tunneling occurs in a resonant way, the resonances being

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“…In some previous publications [10,18] we have used MS subtraction which combines regularization and renormalization. Here we will impose renormalization conditions which keep the effective potential close to the tree level one.…”

Section: Renormalizationmentioning

confidence: 99%

“…This prescription has been used in Refs. [10,18,12]. On the other hand, in our toy world, one may wish to compare the results of the various approaches for situations were the effective potentials have similar "physical" properties, e.g.…”

Section: Introductionmentioning

confidence: 99%

Erratum: False vacuum decay by self-consistent bounces in four dimensions [Phys. Rev. D75, 045001 (2007)]

Baacke¹,

Kevlishvili²

2007

Phys. Rev. D

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We compute bounce solutions describing false vacuum decay in a Φ 4 model in four dimensions with quantum back-reaction. The back-reaction of the quantum fluctuations on the bounce profiles is computed in the one-loop and Hartree approximations. This is to be compared with the usual semiclassical approach where one computes the profile from the classical action and determines the one-loop correction from this profile. The computation of the fluctuation determinant is performed using a theorem on functional determinants, in addition we here need the Green' s function of the fluctuation 1 e-mail: baacke@physik.uni-dortmund.de 2 e-mail: nina.kevlishvili@het.physik.uni-dortmund.de operator in oder to compute the quantum back-reaction. As we are able to separate from the determinant and from the Green' s function the leading perturbative orders, we can regularize and renormalize analytically, in analogy of standard perturbation theory. The iteration towards self-consistent solutions is found to converge for some range of the parameters. Within this range the corrections to the semiclassical action are at most a few percent, the corrections to the transition rate can amount to several orders of magnitude. The strongest deviations happen for large couplings, as to be expected. Beyond some limit, there are no self-consistent bounce solutions.2

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Self-consistent bounces in two dimensions

Cited by 12 publications

References 48 publications

Green’s function method for handling radiative effects on false vacuum decay

Green’s function method for handling radiative effects on false vacuum decay

Tunneling in a quantum field theory on a compact one-dimensional space

Erratum: False vacuum decay by self-consistent bounces in four dimensions [Phys. Rev. D75, 045001 (2007)]

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