Large Mass Hierarchy from a Small Extra Dimension
Open accessAbstract
We propose a new higher-dimensional mechanism for solving the hierarchy problem. The weak scale is generated from the Planck scale through an exponential hierarchy. However, this exponential arises not from gauge interactions but from the background metric (which is a slice of ${\mathrm{AdS}}_{5}$ spacetime). We demonstrate a simple explicit example of this mechanism with two 3-branes, one of which contains the standard model fields. The phenomenology of these models is new and dramatic. None of the current constraints on theories with very large extra dimensions apply.
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Randall and Sundrum developed two braneworld models with an anti-de Sitter space as bulk: the first with two branes and the second with one brane.
“Following the work of Arkani-Hamed et al. (1998), Randall and Sundrum developed two braneworld models with an anti-de Sitter space as bulk. The first model has two branes (Randall and Sundrum 1999b) and the second model with one brane (Randall and Sundrum 1999a).”
From Testing general relativity in cosmology (2019) · cites this paper as Randall and Sundrum 1999b
The 2d JT model is described by a dynamical metric on the Planck brane.
“The 2d JT model is then described by a dynamical metric on the “Planck brane” (or Randall–Sundrum brane (Randall and Sundrum 1999; Karch and Randall 2001)).”
From Solvable models of quantum black holes: a review on Jackiw–Teitelboim gravity (2023) · cites this paper as Randall and Sundrum 1999
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- Authors
- Randall, L., & Sundrum, R.
- Affiliations
- Princeton University (US)
- Boston University (US)
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1999-10-25
- Volume
- 83
- Issue
- 17
- Pages
- 3370-3373
- ISSN
- 0031-9007 (ISSN-L)
- 1079-7114
- OpenAlex
- W2064777467
- Cited by
- 9,227
- References
- 1
- Citations by year
- 2026: 166 · 2025: 238 · 2024: 237 · 2023: 268 · 2022: 255 · 2021: 271 · 2020: 301 · 2019: 249 · 2018: 312 · 2017: 261 · 2016: 366 · 2015: 313 · 2014: 281 · 2013: 338 · 2012: 378
- FWCI
- 282.35
- Type
- journal article
- Language
- en
- Open access
- green
- arxiv.org
- Locations
- Physical Review Letters (publishedVersion)
- arXiv (Cornell University) (submittedVersion)
- CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
- arXiv (Cornell University)
- Topics
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Particle physics theoretical and experimental studies
- 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
- Keywords
- hierarchy problem, large extra dimensions, weak scaling, Planck scale, background metric, 3-brane, Standard Model fields, higher-dimensional physics
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