Negative modes of oscillating instantons

Battarra, Lorenzo; Lavrelashvili, George; Lehners, Jean-Luc

doi:10.1103/physrevd.86.124001

Cited by 32 publications

(32 citation statements)

References 58 publications

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“…(21) is the largest. Note that in this potential one can also find oscillating instantons [28][29][30][31][32], in which the scalar field oscillates several times back and forth between the two sides of the potential barrier. An example of a twice oscillating instanton is shown in Fig.…”

Section: Numerical Examplesmentioning

confidence: 96%

Creation of wormholes by quantum tunnelling in modified gravity theories

2014

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We study the process of quantum tunnelling in scalar-tensor theories in which the scalar field is non-minimally coupled to gravity. In these theories gravitational instantons can deviate substantially from sphericity and can in fact develop a neck - a feature prohibited in theories with minimal coupling. Such instantons with necks lead to the materialisation of bubble geometries containing a wormhole region. We clarify the relationship of neck geometries to violations of the null energy condition, and also derive a bound on the size of the neck relative to that of the instanton

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Section: Numerical Examplesmentioning

confidence: 96%

Creation of wormholes by quantum tunnelling in modified gravity theories

2014

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“…Such an oscillating solution can have two or more numbers of negative modes [30]. This implies that such oscillating solutions may not be the best way of tunneling [31], in which the author argued that the Euclidean solution with only one negative mode is related to the tunneling process in the flat Minkowski spacetime.…”

Section: Discussionmentioning

confidence: 99%

Oscillating Instantons as Homogeneous Tunneling Channels

Lee

Yeom

2013

Int. J. Mod. Phys. A

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In this paper, we study Einstein gravity with a minimally coupled scalar field accompanied with a potential, assuming an O(4) symmetric metric ansatz. We call an Euclidean instanton is to be an oscillating instanton, if there exists a point where the derivative of the scale factor and the scalar field vanish at the same time. Then we can prove that the oscillating instanton can be analytically continued, both as inhomogeneous and homogeneous tunneling channels.Here, we especially focus on the possibility of a homogeneous tunneling channel. For the existence of such an instanton, we have to assume three things: (1) there should be a local maximum and the curvature of the maximum should be sufficiently large, (2) there should be a local minimum and (3) the other side of the potential should have a sufficiently deeper vacuum. Then, we can show that there exists a number of oscillating instanton solutions and their probabilities are higher compared to the Hawking-Moss instantons.We also check the possibility when the oscillating instantons are comparable with the Coleman-DeLuccia channels. Thus, for a general vacuum decay problem, we should not ignore the oscillating instanton channels.PACS number: 04.62.+v, 98.80.Cq, 98.80.Qc

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“…They seem to observe the clue to support this idea on the other point of view. It is known that the N times oscillating solutions have N negative modes [51,53,66]. The even numbers of negative modes of the form 4N and 4N + 2 do not have imaginary part of the energy, while the odd numbers of negative modes of the form 4N + 3 have the imaginary part of the energy with the wrong sign.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…However, 4N + 1 negative modes may have a meaning for a tunneling process even if the solution may not be related to the lowest WKB approximation. Recently the analysis on the negative modes of oscillating instantons has been investigated [66]. The oscillating instantons as homogeneous tunneling channels have been also studied [67].…”

Section: Summary and Discussionmentioning

confidence: 99%

Fubini instantons in curved space

Lee

Oh³

et al. 2013

J. High Energ. Phys.

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We study Fubini instantons of a self-gravitating scalar field. The Fubini instanton describes the decay of a vacuum state under tunneling instead of rolling in the presence of a tachyonic potential. The tunneling occurs from the maximum of the potential, which is a vacuum state, to any arbitrary state, belonging to the tunneling without any barrier. We consider two different types of the tachyonic potential. One has only a quartic term. The other has both the quartic and quadratic terms. We show that, there exist several kinds of new O(4)-symmetric Fubini instanton solution, which are possible only if gravity is taken into account. One type of them has the structure with Z 2 symmetry. This type of the solution is possible only in the de Sitter background. We discuss on the interpretation of the solutions with Z 2 symmetry.

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Negative modes of oscillating instantons

Cited by 32 publications

References 58 publications

Creation of wormholes by quantum tunnelling in modified gravity theories

Creation of wormholes by quantum tunnelling in modified gravity theories

Oscillating Instantons as Homogeneous Tunneling Channels

Fubini instantons in curved space

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