论文标题

热广告分区功能的异常尺寸

Anomalous Dimensions from Thermal AdS Partition Functions

论文作者

Kraus, Per, Megas, Stathis, Sivaramakrishnan, Allic

论文摘要

我们开发了一种有效的方法来计算AD中弱耦合标量字段的热分区函数。我们考虑四分之一的触点相互作用,并展示如何在不执行任何显式ADS集成的情况下评估相关的两循环真空图,关键步骤是使用Kallen-Lehmann类型身份。这导致了一种简单的方法,用于在任何时空维度中提取双轨异常维度,以简化的方式恢复已知的一阶结果。

We develop an efficient method for computing thermal partition functions of weakly coupled scalar fields in AdS. We consider quartic contact interactions and show how to evaluate the relevant two-loop vacuum diagrams without performing any explicit AdS integration, the key step being the use of Kallen-Lehmann type identities. This leads to a simple method for extracting double-trace anomalous dimensions in any spacetime dimension, recovering known first-order results in a streamlined fashion.

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