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| Arkani-Hamed–Dimopoulos–Dvali (ADD) model | |
|---|---|
| Name | Arkani-Hamed–Dimopoulos–Dvali (ADD) model |
| Authors | Nima Arkani-Hamed; Savas Dimopoulos; Gia Dvali |
| Year | 1998 |
| Field | Theoretical physics |
| Related | String theory; Kaluza–Klein theory; Randall–Sundrum model |
Arkani-Hamed–Dimopoulos–Dvali (ADD) model The Arkani-Hamed–Dimopoulos–Dvali (ADD) model is a proposal in high-energy physics that postulates large extra spatial dimensions to resolve the hierarchy problem, originally advanced by Nima Arkani-Hamed, Savas Dimopoulos, and Gia Dvali in 1998. It connects ideas from Kaluza–Klein theory, String theory, and searches at colliders such as the Large Hadron Collider, and has motivated experimental programs at facilities like CERN and Fermilab.
The ADD model posits that gravity propagates in n additional compactified spatial dimensions while Standard Model fields are confined to a four-dimensional Minkowski space brane, drawing conceptual lineage from Kaluza–Klein theory, Supergravity, and developments in String theory by groups including Edward Witten and Joseph Polchinski. Its central claim addresses the hierarchy between the Planck scale and the electroweak scale, prompting phenomenological analyses comparable to efforts by Lisa Randall and Raman Sundrum and inspiring searches by collaborations such as ATLAS and CMS.
The model builds on compactification techniques from Kaluza–Klein theory and compact-manifold constructions used in Calabi–Yau compactifications within String theory, and it intersects with paradigms developed by Niels Bohr-era extra-dimensional thought and modern formulations by Edward Witten. ADD leverages the large-volume suppression of gravitational strength, relating the observed four-dimensional Newton's law coupling to a fundamental higher-dimensional Planck scale via volume of the extra dimensions, a relation examined alongside analyses by Steven Weinberg and Gerard 't Hooft. Formal tools from Effective field theory and techniques used by Ken Wilson inform the low-energy description, while conceptual constraints reference insights from Stephen Hawking on black hole thermodynamics and from Jacob Bekenstein on entropy bounds.
In the ADD setup, the (4+n)-dimensional action includes the higher-dimensional Einstein–Hilbert term with a fundamental scale M_* related to the observed Planck mass M_Pl through the compactification radius R and the volume V_n of the extra dimensions, an approach reminiscent of dimensional reduction techniques used by Theodor Kaluza and Oskar Klein. The model predicts a tower of Kaluza–Klein graviton modes whose mass splittings scale as 1/R, leading to enhanced graviton emission or virtual exchange processes calculable with methods used by Julian Schwinger and Richard Feynman in perturbation theory. ADD offers concrete signatures including modifications to inverse-square Newton's law at submillimeter distances and production of microscopic black holes at energies near M_*, discussed in the context of proposals by John Preskill and Donald Page concerning quantum gravity phenomenology.
Tests of the ADD scenario derive from torsion-balance experiments such as those influenced by the instrumentation traditions of Cavendish-type measurements and modern implementations at laboratories associated with Harvard University and University of Washington, which set limits on deviations from inverse-square behavior and thus on R and n. Collider bounds come from analyses by ATLAS, CMS, and predecessors at LEP and Tevatron, constraining graviton-mediated processes and missing-energy signatures in channels analogous to searches led by Francesco Gianotti and Joseph Incandela. Astrophysical and cosmological limits involve energy-loss arguments in supernovae such as SN 1987A and constraints from Big Bang nucleosynthesis studies by teams tied to Lawrence Berkley National Laboratory and NASA, as well as bounds from Cosmic Microwave Background measurements by missions like WMAP and Planck.
Observable consequences emphasized in phenomenology include emission of Kaluza–Klein gravitons producing missing transverse energy at colliders studied by ATLAS and CMS, virtual-graviton exchange altering dilepton and diphoton spectra in analyses akin to those by Gian Giudice and Riccardo Rattazzi, and submillimeter deviations measured in precision experiments connected to instrumentation techniques from Stanford University and Yale University. The possibility of microscopic black hole production at the Large Hadron Collider was considered in community discussions involving Stephen Hawking-inspired considerations and led to dedicated searches by CMS and ATLAS with cross-section calculations referencing work by Steven Weinberg and Edward Witten. Precision electroweak constraints from measurements at SLAC and CERN further narrow parameter space, as do limits from cosmic-ray observatories such as Pierre Auger Observatory.
The ADD paradigm motivated related frameworks including the Randall–Sundrum model by Lisa Randall and Raman Sundrum, warped compactification approaches studied by Juan Maldacena in the context of AdS/CFT correspondence, and string-motivated large-volume scenarios developed by research groups including Vafa and Giddings. Subsequent work explored supersymmetric embeddings linked to Edward Witten and Michael Green, holographic interpretations in line with Maldacena-inspired dualities, and phenomenological hybrids addressing flavor structure akin to proposals by Hitoshi Murayama and Yasunori Nomura.
Category:Theoretical physics models