The basis of nonlocal curvature invariants in quantum gravity theory. Third order

Barvinsky, A. O.; Gusev, Yu. V.; Vilkovisky, G. A.; Zhytnikov, V. V.

doi:10.1063/1.530427

Cited by 75 publications

(110 citation statements)

References 22 publications

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“…But if the higher order terms have finite coefficients that can be determined from the original Einstein-Hilbert action, the problem largely disappears. The idea that quantum gravity eliminates divergences gains support from the observation that classical gravity eliminates the infinite electromagnetic self-energy of a charged point particle [110], and from various partial resummations of Feynman diagrams [25,26,27] and similar approximations [111,112,113]. But we do not know how to perform a complete summation of perturbation theory, of course, so this argument really points toward the need for new nonperturbative methods.…”

Section: Lorentzian Perturbation Theorymentioning

confidence: 99%

Quantum gravity: a progress report

2001

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The problem of reconciling general relativity and quantum theory has fascinated and bedeviled physicists for more than 70 years. Despite recent progress in string theory and loop quantum gravity, a complete solution remains out of reach. I review the status of the continuing effort to quantize gravity, emphasizing the underlying conceptual issues and the various attempts to come to grips with them. *

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Section: Lorentzian Perturbation Theorymentioning

confidence: 99%

Quantum gravity: a progress report

2001

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“…[27]) and involves re-expressing their more general result in manifestly local form by an appropriate choice of basis operators. In this formula, the − → G n (n ≥ 1) are form factor functions of three operators:…”

Section: Dispersion and Gravitymentioning

confidence: 99%

Quantum gravitational optics

Shore¹

2003

Contemporary Physics

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In quantum theory, the curved spacetime of Einstein's general theory of relativity acts as a dispersive optical medium for the propagation of light. Gravitational rainbows and birefringence replace the classical picture of light rays mapping out the null geodesics of curved spacetime. Even more remarkably, superluminal propagation becomes a real possibility, raising the question of whether it is possible to send signals into the past. In this article, we review recent developments in the quantum theory of light propagation in general relativity and discuss whether superluminal light is compatible with causality. * Review article commissioned by 'Contemporary Physics'.

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“…The above arguments could have been even generalized to the case of the nitemass black hole by noting that in asymptotically at spacetime the actual expansion of the eective action can be performed in powers of the Ricci curvature R only [55,56], for which R reg (x) 0 in eq.(7.3). However there is a serious objection to this mechanism which apparently invalidates this proposal.…”

Section: Discussionmentioning

confidence: 99%

The wave function of a black hole and the dynamical origin of entropy

1995

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Recently [1,2 ] i t w as proposed to explain the dynamical origin of the entropy of a black hole by identifying its dynamical degrees of freedom with states of quantum elds propagating in the black-hole's interior. The present paper contains the further development of this approach. The no-boundary proposal (analogous to the Hartle-Hawking no-boundary proposal in quantum cosmology) is put forward for dening the wave function of a black hole. This wave function is a functional on the conguration space of physical elds (including the gravitational one) on the three-dimensional space with the Einstein-Rosen bridge topology. I t i s s h o wn that in the limit of small perturbations on the Kruskal background geometry the no-boundary wave function coincides with the HartleHawking vacuum state. The invariant denition of inside and outside modes is proposed. The density matrix describing the internal state of a black hole is obtained by a v eraging over the outside modes. This density matrix is used to dene the entropy of a black hole, which i s t o b e d i v ergent. It is argued that the quantum uctuations of the horizon which are internally present in the proposed formalism may give the necessary cut-o and provide a black hole with the nite entropy.

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The basis of nonlocal curvature invariants in quantum gravity theory. Third order

Cited by 75 publications

References 22 publications

Quantum gravity: a progress report

Quantum gravity: a progress report

Quantum gravitational optics

The wave function of a black hole and the dynamical origin of entropy

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