Dynamical foundations of the brane-induced gravity

Akama, Keiichi; Hattori, Takashi

doi:10.1088/0264-9381/30/20/205002

Cited by 11 publications

(15 citation statements)

References 125 publications

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“…Thus, string theory appears to provide another alternative to the realization of the brane-induced gravity scenario of Dvali, Gabadadze and Porrati [25], where dynamical bulk gravity gets localized on the brane 8 . This possibility was also noted in [27].…”

Section: Discussionmentioning

confidence: 60%

Emergent gravity from vanishing energy-momentum tensor

Carone

Erlich

Vaman

2017

J. High Energ. Phys.

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A constraint of vanishing energy-momentum tensor is motivated by a variety of perspectives on quantum gravity. We demonstrate in a concrete example how this constraint leads to a metric-independent theory in which quantum gravity emerges as a nonperturbative artifact of regularization-scale physics. We analyze a scalar theory similar to the Dirac-Born-Infeld (DBI) theory with vanishing gauge fields, with the DBI Lagrangian modulated by a scalar potential. In the limit of a large number of scalars, we explicitly demonstrate the existence of a composite massless spin-2 graviton in the spectrum that couples to matter as in Einstein gravity. We comment on the cosmological constant problem and the generalization to theories with fermions and gauge fields.

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Section: Discussionmentioning

confidence: 60%

Emergent gravity from vanishing energy-momentum tensor

Carone

Erlich

Vaman

2017

J. High Energ. Phys.

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“…It is trivial to restore such factors in later expressions. 2 We note that related studies in more restricted contexts can additionally be found in [37][38][39]. We thank Arkady Tseytlin for making us aware of these references after the original version of this work appeared on the arXiv.…”

Section: Divergences Field Variables and The Quantum Effective Actionmentioning

confidence: 88%

Quantum corrections to generic branes: DBI, NLSM, and more

Goon

Melville

Noller

2021

J. High Energ. Phys.

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We study quantum corrections to hypersurfaces of dimension d + 1 > 2 embedded in generic higher-dimensional spacetimes. Manifest covariance is maintained throughout the analysis and our methods are valid for arbitrary co-dimension and arbitrary bulk metric. A variety of theories which are prominent in the modern amplitude literature arise as special limits: the scalar sector of Dirac-Born-Infeld theories and their multi-field variants, as well as generic non-linear sigma models and extensions thereof. Our explicit one-loop results unite the leading corrections of all such models under a single umbrella. In contrast to naive computations which generate effective actions that appear to violate the non-linear symmetries of their classical counterparts, our efficient methods maintain manifest covariance at all stages and make the symmetry properties of the quantum action clear. We provide an explicit comparison between our compact construction and other approaches and demonstrate the ultimate physical equivalence between the superficially different results.

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“…In those models, quantization was shown to give rise to scattering amplitudes that include long-range gravitational interactions consistent with general relativity [22,23], including gravitational self-interactions [24]. Similar models have also been studied from the perspective of the gravitational effective action [25,26], with a similar conclusion.…”

Section: Introductionmentioning

confidence: 84%

Stochastic emergent quantum gravity

Erlich

2018

Class. Quantum Grav.

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We present a stochastic framework for emergent quantum gravity coupled to matter. The Hamiltonian constraint in diffeomorphism-invariant theories demands the identification of a clock relative to which dynamics may be defined, and other degrees of freedom can play the role of rulers. However, a global system of clock and rulers is generally not available. We provide evidence that stochasticity associated with critical points of clock and ruler fields can be related to the emergence of both a probabilistic description consistent with ordinary quantum theory, and gravitation described by general relativity at long distances. We propose a procedure for embedding any Lorentz-invariant field theory, including the Standard Model and its Lorentz-invariant extensions, in this framework. * erlich@physics.wm.edu 1 arXiv:1807.07083v1 [gr-qc]

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Dynamical foundations of the brane-induced gravity

Cited by 11 publications

References 125 publications

Emergent gravity from vanishing energy-momentum tensor

Emergent gravity from vanishing energy-momentum tensor

Quantum corrections to generic branes: DBI, NLSM, and more

Stochastic emergent quantum gravity

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