One-loop corrections to the metastable vacuum decay

Baacke, J.; Lavrelashvili, George

doi:10.1103/physrevd.69.025009

Cited by 69 publications

(135 citation statements)

References 35 publications

(63 reference statements)

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“…In Section IV we explain how to regularize and renormalize our answer using the angular momentum cutoff regularization and renormalization scheme developed previously in [21]. Our approach is related to an elegant technique presented recently by Baacke and Lavrelashvili [22], and in Section IV we also compare and contrast these two methods. In Section V we conclude with some general comments about possible further applications, and in the Appendix we present the derivation of a simple new formula for the contribution to the decay rate γ coming from the zero modes.…”

Section: Consider the Euclidean Classical Actionmentioning

confidence: 99%

“…Expanding the field φ about the false vacuum φ − 4) and keeping terms up to dimension four, we find the potential, which is often considered directly in the literature [22] …”

Section: Consider the Euclidean Classical Actionmentioning

confidence: 99%

“…(This method has previously been used to compute the quark mass dependence of the fermion determinant for quarks in the presence of an instanton background [21].) A related approach to false vacuum decay, also based on the Gelfand-Yaglom formula, has been developed recently by Baacke and Lavrelashvili [22], and we comment in Section IV B on the similarities and differences between our approaches.…”

Section: Introductionmentioning

confidence: 99%

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Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay

Dunne

2005

Phys. Rev. D

127

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We present a general numerical method for computing precisely the false vacuum decay rate, including the prefactor due to quantum fluctuations about the classical bounce solution, in a selfinteracting scalar field theory modeling the process of nucleation in four dimensional spacetime.This technique does not rely on the thin-wall approximation. The method is based on the GelfandYaglom approach to determinants of differential operators, suitably extended to higher dimensions using angular momentum cutoff regularization. A related approach has been discussed recently by Baacke and Lavrelashvili, but we implement the regularization and renormalization in a different manner, and compare directly with analytic computations made in the thin-wall approximation.We also derive a simple new formula for the zero mode contribution to the fluctuation prefactor, expressed entirely in terms of the asymptotic behavior of the classical bounce solution. * Electronic address: dunne@phys.uconn.edu † Electronic address: hsmin@dirac.uos.ac.kr

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Section: Consider the Euclidean Classical Actionmentioning

confidence: 99%

“…Expanding the field φ about the false vacuum φ − 4) and keeping terms up to dimension four, we find the potential, which is often considered directly in the literature [22] …”

Section: Consider the Euclidean Classical Actionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay

Dunne

2005

Phys. Rev. D

127

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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

Self Cite

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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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Renormalization-scale uncertainty in the decay rate of false vacuum

Endo

Moroi

Nojiri

et al. 2016

J. High Energ. Phys.

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Abstract:We study radiative corrections to the decay rate of false vacua, paying particular attention to the renormalization-scale dependence of the decay rate. The decay rate exponentially depends on the bounce action. The bounce action itself is renormalizationscale dependent. To make the decay rate scale-independent, radiative corrections, which are due to the field fluctuations around the bounce, have to be included. We show quantitatively that the inclusion of the fluctuations suppresses the scale dependence, and hence is important for the precise calculation of the decay rate. We also apply our analysis to a supersymmetric model and show that the radiative corrections are important for the Higgs-stau system with charge breaking minima.

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One-loop corrections to the metastable vacuum decay

Cited by 69 publications

References 35 publications

Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay

Beyond the thin-wall approximation: Precise numerical computation of prefactors in false vacuum decay

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

Renormalization-scale uncertainty in the decay rate of false vacuum

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