Fate of the true-vacuum bubbles

González, Jorge A.; Bellorín, A.; García-Ñustes, Mónica A.; Guerrero, L.E.; Jiménez, Salvador; Marín, Juan F.; Vázquez, Luis

doi:10.1088/1475-7516/2018/06/033

Cited by 17 publications

(18 citation statements)

References 56 publications

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“…Today, the study of the properties of topological defects is a vast and very fast developing area. Interactions of kinks with each other and with impurities have been studied [29][30][31][32][33][34][35][36][37][38][39][40][41][42][43]; see also results for branes [44], bubble-like structures [45,46], interactions of breathers [47], and so on [48][49][50][51][52][53][54]. Many interesting and important results have been obtained in the (1+1)dimensional models with polynomial potentials: ϕ 4 , ϕ 6 , ϕ 8 , and so on [55][56][57][58][59][60][61][63][64][65][66][67][68][69][70]].…”

Section: Introductionmentioning

confidence: 99%

Scattering of the φ8 kinks with power-law asymptotics

Belendryasova

Gani

2019

Communications in Nonlinear Science and Numerical Simulation

104

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We study the scattering of the ϕ 8 kinks off each other, namely, we consider those ϕ 8 kinks that have power-law asymptotics. The slow power-law fall-off leads to a long-range interaction between the kink and the antikink. We investigate how the scattering scenarios depend on the initial velocities of the colliding kinks. In particular, we observe the 'escape windows' -the escape of the kinks after two or more collisions, explained by the resonant energy exchange between the translational and vibrational modes. In order to elucidate this phenomenon, we also analyze the excitation spectra of a solitary kink and of a composite kink+antikink configuration.

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Section: Introductionmentioning

confidence: 99%

Scattering of the φ8 kinks with power-law asymptotics

Belendryasova

Gani

2019

Communications in Nonlinear Science and Numerical Simulation

104

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“…A transition of the universe towards a nearby global minimum of the Higgs potential -a phenomenon termed as vacuum decay [6], would lead the Universe towards a state where life as we know it might be impossible [5,7]. The possibility that heterogeneities, such as black holes, may enhance the nucleation of true-vacuum bubbles in the Universe and thus seeding vacuum decay is a fascinating subject that is gaining increasing interest in gravitation, cosmology, and in analogue condensed matter systems exhibiting vacuum decay [1,2,4,[8][9][10][11][12][13][14].…”

Section: Introductionmentioning

confidence: 99%

Bubble evolution around heterogeneities in ϕ4-field theories

Marín

2021

J. High Energ. Phys.

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Localised heterogeneities have been recently discovered to act as bubble-nucleation sites in nonlinear field theories. Vacuum decay seeded by black holes is one of the most remarkable applications. This article proposes a simple and exactly solvable ϕ4 model to study bubble evolution about a localised heterogeneity. Bubbles with a rich dynamical behaviour are observed depending on the topological properties of the heterogeneity. The linear stability analysis of soliton-bubbles predicts oscillating bubbles and the insertion of new bubbles inside an expanding precursor bubble. Numerical simulations in 2+1 dimensions are in good agreement with theoretical predictions.

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“…The remainder of the article is organized as follows. In Sections 2 and 3, we recall our previous mathematical results [34]: in Section 2, we describe the system in the framework of vacuum decay in the Higgs potential, whereas in Section 3, we calculate the instanton solution connecting the vacua of a proposed potential, and we show that the action of the instanton can be divergent if some conditions are provided. In Section 4, we explore numerically in detail the collapse of a bubble of true vacuum inside a sea of false vacuum and show that there are no bubbles of true vacuum inside a universe of false vacuum that will expand.…”

Section: Introductionmentioning

confidence: 99%

Solitons and Instantons in Vacuum Stability: Physical Phenomena

et al. 2020

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In a previous paper (JCAP06, 033, 2018), we have proved that it is possible to have a stable false vacuum in a potential that is unbounded from below. In this paper, we discuss the physics related to our theoretical and numerical results. We show that the results of recent CERN experiments lead to the fact that our vacuum is safe. We present a new mechanism, where the space-time dimension plays an important role that explains why our universe is stable. We provide new evidence that supports a process for the origin of matter-antimatter asymmetry recently introduced by other scientists. We examine confinement in the context of escape problems. We discuss multiverse, string theory landscape, and extra-dimensions using our framework. Finally, we use our solutions to introduce some hypotheses about dark matter and dark energy.

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Fate of the true-vacuum bubbles

Abstract: We investigate the bounce solutions in vacuum decay problems. We show that it is possible to have a stable false vacuum in a potential that is unbounded from below.

Cited by 17 publications

References 56 publications

Scattering of the φ8 kinks with power-law asymptotics

Scattering of the φ8 kinks with power-law asymptotics

Bubble evolution around heterogeneities in ϕ4-field theories

Solitons and Instantons in Vacuum Stability: Physical Phenomena

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