发表机构
University of Maryland（马里兰大学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文纪念Renaud Parentani，阐述其利用微扰论、大N近似和球对称约化，研究抑制黑洞视界跨普朗克量子场关联的机制，最后讨论相关问题。
AI 中文摘要
相向传播的量子场模式的强引力相互作用对黑洞视界的跨普朗克问题具有基础重要性。本文为纪念Renaud Parentani，主要阐述他利用微扰论、大N近似和球对称约化，试图揭示一种机制，该机制可抑制跨普朗克近视界量子场关联。在详细介绍Renaud的计算前，本文简要介绍了跨普朗克问题，最后讨论了相关问题与疑问。
英文摘要
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.
Comments20 pages, 2 figures; contribution to Comptes Rendus. Physique - a special issue in memory of Renaud Parentani (the typesetting is more elegant in the Comptes Rendus version)
Journal refComptes Rendus. Physique, vol. 25, no. S2, 2026, pp. 1-16
