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arXiv 2501.01487hep-thgr-qc
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代数扰动理论:可穿越虫洞与广义熵在次主导阶以外

Algebraic perturbation theory: traversable wormholes and generalized entropy beyond subleading order

Center for Cosmology and Particle Physics, New York University(纽约大学宇宙学与粒子物理中心)

Shadi Ali Ahmad, Ro Jefferson

AI总结:

本文提出通过扰动交叉积代数研究可穿越虫洞的广义熵,探索黑洞信息转移机制并扩展其在量子引力中的应用。

摘要:

交叉积近期已 emerge 作为描述量子场论和引力的可观测量代数的重要成分。我们结合扰动理论,研究通过原始系统的单位变形得到的扰动交叉积代数。受黑洞蒸发问题的启发,我们提出一个抽象框架,其中黑洞信息可通过转换为表现出其模结构一定程度非局部性的扰动交叉积而转移到霍金辐射中。作为具体例子和蒸发的玩具模型,我们分析反德西特空间中可穿越虫洞的可观测量代数。我们获得了相对于高斯、贾弗里斯和沃尔原工作在次主导阶以外的广义熵的新贡献。最后,我们对代数方法在量子引力中的潜在适用性进行了一些评论。

英文摘要:

The crossed product has recently emerged as an important ingredient in describing algebras of observables for quantum field theory and gravity. We combine this with perturbation theory, and study perturbative crossed product algebras obtained from a unitary deformation of the original system. Motivated by the problem of black hole evaporation, we propose an abstract framework in which black hole information can be transferred to Hawking radiation by passing to a perturbative crossed product exhibiting a degree of non-locality in its modular structure. As both a concrete example and a toy model for evaporation, we analyze the algebra of observables of the traversable wormhole in anti-de-Sitter space. We obtain new contributions to the generalized entropy beyond subleading order relative to the original work by Gao, Jafferis, and Wall. We close with some comments on the potential applicability of the algebraic approach to quantum gravity.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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