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Quantum tunneling in flux compactifications
Open accessAbstract
We identify instantons representing vacuum decay in a 6-dimensional toy model for string theory flux compactifications, with the two extra dimensions compactified on a sphere. We evaluate the instanton action for tunneling between different flux vacua, as well as for the decompactification decay channel. The bubbles resulting from flux tunneling have an unusual structure. They are bounded by two-dimensional branes, which are localized in the extra dimensions. This has important implications for bubble collisions.
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“The tunneling results in the formation of an expanding bubble, inside of which the compact sphere is destabilized and its radius grows with time.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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“The rate (70) has been estimated in [7] and has been calculated numerically for different values of parameters in Ref. [8].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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“The mass per unit area is equal to the brane tension and is given by [7, 26] T 2 = 2Q m √ 3 .(48)”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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“Yet the number of large spatial dimensions may vary from vacuum to vacuum [9,10,11,12], as is expected in string theory.”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [10]
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“Note that this is not the only channel by which the parent vacuum may decay-in particular it may transition to any vacuum with winding number n ′ = n (see e.g.[10]).”
From Observable effects of anisotropic bubble nucleation (2010) · cites this paper as [10]
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“The radius of the compact dimensions in this theory is stabilized by a magnetic flux through the sphere, but the resulting vacua are only metastable and can decay by quantum tunneling through a barrier.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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“Transitions between dS 4 × S 2 vacua with different flux quantum numbers n were discussed in Ref. [7], where it was shown that such transitions proceed through nucleation of magnetically charged branes.”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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“Our results reinforce and extend the earlier analyses in Refs.[8] and [7].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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“Such tunnelings, which are analogous to the Schwinger process, and the corresponding instantons, have been discussed in [7].”
From Transdimensional tunneling in the multiverse (2010) · cites this paper as [7]
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Citations
Cites
On gauge invariance and vacuum polarization
Schwinger, J. (1951) · Physical Review · doi:10.1103/physrev.82.664 · Cited by 7,116
Gravitational effects on and of vacuum decay
Coleman, S., & De Luccia, F. (1980) · Physical Review D · doi:10.1103/physrevd.21.3305 · Cited by 1,537 · cited 5×
“The instanton action can be easily found in the thin wall limit, when the radius of the bubble ring is much greater than the compactification radius, ρ≫ R. (98) We shall use the standard Coleman-De Luccia formalism [7, 35] to consider tunneling between the following types of vacua: de Sitter to de Sitter; de Sitter to…”
MethodInfluentialCreation of universes from nothing
Vilenkin, A. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90866-8 · Cited by 841
Self-citationSupercooled phase transitions in the very early universe
Hawking, S. W., & Moss, I. L. (1982) · Physics Letters B · doi:10.1016/0370-2693(82)90946-7 · Cited by 816
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Cited by
Sorted by citations
Observable effects of anisotropic bubble nucleation
Blanco-Pillado, J. J., & Salem, M. P. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/07/007 · Cited by 44
Self-citationTransdimensional tunneling in the multiverse
Blanco-Pillado, J. J., Schwartz-Perlov, D., & Vilenkin, A. (2010) · Journal of Cosmology and Astroparticle Physics · doi:10.1088/1475-7516/2010/05/005 · Cited by 38
Self-citation
Metadata
- Authors
- Blanco-Pillado, J. J., Schwartz-Perlov, D., & Vilenkin, A.
- Affiliations
- Tufts University (US)
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2009-12-04
- Volume
- 2009
- Issue
- 12
- Pages
- 006-006
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2073987279
- Cited by
- 69
- References
- 4
- Citations by year
- 2026: 1 · 2025: 1 · 2024: 3 · 2023: 1 · 2022: 1 · 2021: 4 · 2020: 2 · 2019: 1 · 2018: 2 · 2017: 3 · 2016: 3 · 2015: 6 · 2014: 6 · 2013: 6 · 2012: 5
- FWCI
- 4.81
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0353314)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
- Keywords
- quantum tunneling, flux compactification, instantons, vacuum decay, string theory, flux vacua, decompactification, bubble collisions, extra dimensions, instanton action
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