发表机构
University of Waterloo; Institute for Quantum Computing, University of Waterloo; Perimeter Institute for Theoretical Physics（滑铁卢大学; 滑铁卢大学量子计算研究所; 理论物理珀米特研究所）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文证明爱因斯坦张量可直接由紫外正则化场关联表示，并扩展至里奇、联络及黎曼张量，为半经典爱因斯坦方程提供关联化表述。
AI 中文摘要
已知时空度规可以从量子场关联中恢复。我们扩展了这一方案，表明爱因斯坦张量可以直接用紫外正则化场关联来书写。相同的关联结构也直接决定里奇张量，而更高的重合导数则恢复联络和黎曼张量。我们进一步表明，重整化应力-能量张量可以在这一框架内表述，直至标准的有限重整化自由度。这些结果为半经典爱因斯坦方程提供了基于关联的组织方式，并推进了用量子场关联表述时空几何的方案。
英文摘要
It is known that the spacetime metric can be recovered from quantum-field correlators. We extend this programme by showing that the Einstein tensor can be directly written in terms of UV-regulated field correlations. The same correlation structure also directly determines the Ricci tensor, while higher coincidence derivatives recover the connection and Riemann tensor. We further show that the renormalized stress-energy tensor can be formulated within this framework, up to the standard finite renormalization freedom. These results provide a correlation-based organization of the semiclassical Einstein equations and advance the programme of formulating spacetime geometry in terms of quantum field correlations.
Comments18 pages
