Oscillating Fubini instantons in curved space
arXiv:1409.3935 · doi:10.1103/PhysRevD.91.124044
Abstract
A Fubini instanton is a bounce solution which describes the decay of a vacuum state located at the top of the tachyonic potential {\it via} the tunneling without a barrier. We investigate various types of Fubini instantons of a self-gravitating scalar field under a tachyonic quartic potential. With gravity taken into account, we show there exist various types of unexpected solutions including oscillating bounce solutions. We present numerically oscillating Fubini bounce solutions in anti-de Sitter and de Sitter spaces. We construct the parametric phase diagrams of the solutions, which is the extension of our previous work. Of particular significance is that there always exist solutions in all parameter spaces in anti-de Sitter space. The regions are divided depending on the number of oscillations. On the other hand, de Sitter space allows solutions with codimension-one in parameter spaces. We numerically evaluate semiclassical exponents which give the finite tunneling probabilities.
arXiv comment25pages, 12 figures
References in corpus (34)
- de Sitter Vacua in String Theory
- Quantization of Four-form Fluxes and Dynamical Neutralization of the Cosmological Constant
- The Anthropic Landscape of String Theory
- Inflation and Eternal Inflation
- Thermal derivation of the Coleman-De Luccia tunneling prescription
- Oscillating bounce solutions and vacuum tunneling in de Sitter spacetime
- Supergravity, Dark Energy and the Fate of the Universe
- Gauged Supergravities, de Sitter Space and Cosmology
- Beyond the thin-wall approximation : precise numerical computation of prefactors in false vacuum decay
- Holographic No-Boundary Measure
- Vacuum Decay in Theories with Symmetry Breaking by Radiative Corrections
- M-theory, Cosmological Constant and Anthropic Principle
- Conformally Coupled Scalars, Instantons and Vacuum Instability in AdS_4
- Spectrum of Cosmological Perturbations in the One-Bubble Open Universe
- AdS Crunches, CFT Falls And Cosmological Complementarity
- Holography of AdS vacuum bubbles
- One-loop corrections to the metastable vacuum decay
- Probabilities in the landscape: The decay of nearly flat space
- The number of negative modes of the oscillating bounces
- Negative Modes of Oscillating Instantons
- The vacuum bubbles in de Sitter background and black hole pair creation
- Hartle-Hawking no-boundary proposal in dRGT massive gravity: Making inflation exponentially more probable
- Instantons and Conformal Holography
- Instanton solutions mediating tunneling between the degenerate vacua in curved space
- Oscillating instanton solutions in curved space
- Hawking-Moss instanton in nonlinear massive gravity
- Zoology of instanton solutions in flat potential barriers
- Tunneling without barriers with gravity
- Coleman-de Luccia instanton in dRGT massive gravity
- Oscillating instantons as homogeneous tunneling channels
- Fubini vacua as a classical de Sitter vacua
- Fubini instantons in curved space
- Destabilizing Tachyonic Vacua at or above the BF Bound
- Decoherence, instantons, and cosmological horizons
Cited by in corpus (17)
- Cosmological Aspects of Higgs Vacuum Metastability
- (Higgs) vacuum decay during inflation
- Impact of New Physics on the EW vacuum stability in a curved spacetime background
- Protecting the Stability of the EW Vacuum from Planck-Scale Gravitational Effects
- Black Holes, Oscillating Instantons, and the Hawking-Moss transition
- Quantum tunneling from paths in complex time
- Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
- Two interpretations of thin-shell instantons
- Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
- Fuzzy Euclidean wormholes in anti-de Sitter space
- Tunneling to Holographic Traversable Wormholes
- Massive (pesudo)Scalars in AdS, SO(4) Invariant Solutions and Holography
- On the Cosmological Stability of the Higgs Instability
- Numerical Analysis of Coleman-de Luccia Tunneling
- A Truncation of 11-Dimensional Supergravity for Fubini-Like Instantons in AdS_4/CFT_3
- Instantons near a tachyonic top in anti de Sitter and the no-boundary regulator
- Goldstone Boson Effects on Vacuum Decay