全息致密物体的有效场论
Effective Field Theory for Holographic Compact Objects
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中文总结 AI 辅助
该研究通过世界线有效场论描述全息致密物体，揭示了其有限尺寸响应与CFT数据间的直接对应关系。
中文摘要 AI 辅助
我们研究了在全息CFT中重-重-轻-轻关联函数，其中重算子对偶于一个局域在远小于AdS半径尺度上的致密物体。在长波长区域，重态的内部结构由世界线有效场论描述，其局域算子编码了有限尺寸响应系数，如潮汐Love数。聚焦于弱自引力物体，我们展示了由局域重-轻相互作用产生的Witten图重组为轻体场有效波动方程的Born级数。我们通过求解带有局域相互作用的该波动方程重现了相同的关联函数，并识别了世界线Wilson系数如何编码在CFT数据中。我们的结果为AdS中致密物体的有限尺寸响应与对偶CFT中重-轻和轻-轻复合算子的维数和OPE系数之间提供了直接联系。
英文摘要
We study heavy-heavy-light-light correlators in holographic CFTs when the heavy operator is dual to a compact object localized on scales much smaller than the AdS radius. In the long-wavelength regime, the internal structure of the heavy state is described by a worldline effective field theory, whose local operators encode finite-size response coefficients such as tidal Love numbers. Focusing on weakly self-gravitating objects, we show that the Witten diagrams generated by local heavy-light interactions reorganize into the Born series of an effective wave equation for the light bulk field. We reproduce the same correlator by solving this wave equation with localized interactions and identify how the worldline Wilson coefficients are encoded in the CFT data. Our results provide a direct relation between the finite-size response of compact objects in AdS and the dimensions and OPE coefficients of heavy-light and light-light composite operators in the dual CFT.
发表机构
- McGill University（麦吉尔大学）
- Universidade do Porto（波尔图大学）
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