Shell-mediated tunnelling between (anti-)de Sitter vacua

Ansoldi, S.; Sindoni, Lorenzo

doi:10.1103/physrevd.76.064020

Cited by 7 publications

(6 citation statements)

References 88 publications

(140 reference statements)

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“…This has been correctly stated in [8,15] but, for unclear reasons, only the case ε = 1 was considered in [10,11]. By setting ε = 1 in our formulae and using the freedom in interchanging λ andλ one can set σǫ 1 = 1 without loss of generality.…”

Section: Shells or Asymmetric Lorentzian Branesmentioning

confidence: 88%

“…The important expression (49) appears in full form in [8,15], and partially in [10,11] for the so-called 'shell cosmologies'.…”

Section: Signature Changing Branes In Adsn Bulksmentioning

confidence: 99%

“…In this paper we want to elaborate on the ideas put forward in [1], but keeping the full generality so that we can also recover the traditional results usually derived for pure timelike branes or shells, see [8,9,10,11,12,13,14,15]. We also want to present detailed proofs of several interesting results merely announced in [1].…”

Section: Introductionmentioning

confidence: 96%

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Lorentzian and signature changing branes

2007

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General hypersurface layers are considered in order to describe brane-worlds and shell cosmologies. No restriction is placed on the causal character of the hypersurface which may thus have internal changes of signature. Strengthening the results in our previous letter [1], we confirm that a good, regular and consistent description of signature change is achieved in these brane/shells scenarios, while keeping the hypersurface and the bulk completely regular. Our formalism allows for a unified description of the traditional timelike branes/shells together with the signature-changing, or pure null, ones. This allows for a detailed comparison of the results in both situations. An application to the case of hypersurface layers in static bulks is presented, leading to the general RobertsonWalker geometry on the layer -with a possible signature change. Explicit examples on anti de Sitter bulks are then studied. The permitted behaviours in different settings (Z2-mirror branes, asymmetric shells, signature-changing branes) are analysed in detail. We show in particular that (i) in asymmetric shells there is an upper bound for the energy density, and (ii) that the energy density within the brane vanishes when approaching a change of signature. The description of a signature change as a 'singularity' seen from within the brane is considered. We also find new relations between the fundamental constants in the brane/shell, its tension, and the cosmological and gravitational constants of the bulk, independently of the existence or not of a change of signature.

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Section: Shells or Asymmetric Lorentzian Branesmentioning

confidence: 88%

“…The important expression (49) appears in full form in [8,15], and partially in [10,11] for the so-called 'shell cosmologies'.…”

Section: Signature Changing Branes In Adsn Bulksmentioning

confidence: 99%

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Lorentzian and signature changing branes

2007

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“…Since the characteristic scale in the Higgs potential is of the order of 100GeV, the requirement that the false vacuum at φ = φ 1 is shifted up from zero by a tiny amount of 10 −3 eV directly implies that the true vacuum at φ = φ 2 is deeply AdS, i.e. has a negative vacuum energy density [21,22,23,24]. The transition from the false to the true vacuum will be described by the Coleman-De Luccia instanton [25].…”

Section: Future Of the Universementioning

confidence: 99%

Electroweak vacua, collider phenomenology, and possible connection with dark energy

et al. 2009

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Higher dimensional non-renormalizable operators may modify the Standard Model Higgs potential in many interesting ways. Here, we consider the appearance of a second vacuum which may play an important role in cosmology. For the certain range of parameters, the usual second order electroweak phase transition is followed by a first order phase transition that may drive the late time accelerated expansion of the universe. Such a potential contains kink-like solutions which in turn can play a crucial role in reconstructing the global shape of the potential in colliders, as we explicitly demonstrate.

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“…In Ref. [26], they found an analytic expression for the tunnelling amplitude and studied the tunnelling between arbitrary (anti-)de Sitter spacetimes in arbitrary spacetime dimensions. The interesting models for bubble collisions in the very early universe are also discussed [27].…”

Section: Introductionmentioning

confidence: 99%

Dynamics of false vacuum bubbles with nonminimal coupling

Lee

et al. 2008

Phys. Rev. D

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We study the dynamics of false vacuum bubbles. A nonminimally coupled scalar field gives rise to the effect of negative tension. The mass of a false vacuum bubble from outside observer's point of view can be positive, zero, or negative. The interior false vacuum has de Sitter geometry, while the exterior true vacuum background can have geometry depending on the vacuum energy. We show that there exist expanding false vacuum bubbles without the initial singularity in the past.Comment: 17 pages, 13 figure

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Shell-mediated tunnelling between (anti-)de Sitter vacua

Cited by 7 publications

References 88 publications

Lorentzian and signature changing branes

Lorentzian and signature changing branes

Electroweak vacua, collider phenomenology, and possible connection with dark energy

Dynamics of false vacuum bubbles with nonminimal coupling

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