Comptes Rendus
Article de recherche
The trans-Planckian problem and gravitational interactions
[Le problème trans-planckien et interactions gravitationnelles]
Ted Jacobson1 orcid
1Center for Fundamental Physics, University of Maryland, College Park, MD 20742, USA

The strong gravitational interaction of counter-propagating quantum field modes is of foundational importance to the trans-Planckian problem of black hole horizons. This article, in memory of Renaud Parentani, is primarily an exposition of Renaud’s attempt, using perturbation theory, a large N approximation, and spherical reduction, to capture a mechanism by which those interactions might quench the trans-Planckian near-horizon quantum field correlations. Before giving a detailed account of Renaud’s calculation, the trans-Planckian problem is briefly introduced, and the paper concludes with a discussion of related issues and questions.

La forte interaction gravitationnelle entre des modes de champ quantique se propageant en sens opposés revêt une importance fondamentale pour le problème trans-planckien lié aux horizons des trous noirs. Cet article, écrit en mémoire de Renaud Parentani, expose principalement la tentative de ce dernier — fondée sur la théorie des perturbations, une approximation de type « grand N » et une réduction à symétrie sphérique — de mettre en évidence un mécanisme par lequel ces interactions pourraient inhiber les corrélations du champ quantique trans-planckien au voisinage de l’horizon. Avant de présenter en détail le calcul de Renaud, le problème trans-planckien est brièvement exposé, et l’article se conclut par une discussion sur des questions connexes.

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DOI : 10.5802/crphys.285
Keywords: Black hole, trans-Planckian, gravitation, quantum gravity
Mots-clés : Trou noir, trans-planckien, gravitation, gravité quantique

Ted Jacobson  1

1 Center for Fundamental Physics, University of Maryland, College Park, MD 20742, USA
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits
Ted Jacobson. The trans-Planckian problem and gravitational interactions. Comptes Rendus. Physique, Online first (2024), pp. 1-16. doi: 10.5802/crphys.285
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