发表机构
Fudan University(复旦大学)
机构由 AI 辅助整理,请以论文原文为准。AI 中文总结
本文区分了共形表面缺陷相关的两种卡西米尔能量,分别由位移反常和局域反常固定,并通过自由场与全息计算验证了其关系。
AI 中文摘要
我们区分了与共形表面缺陷相关的两个卡西米尔可观测量。嵌入平坦空间中的圆柱体对其卡西米尔能量有对数贡献,$-d_1\log(R/\epsilon)/(24R)$,该贡献由位移反常固定。相反,通过对环境理论进行径向量子化得到的大圆柱,在具有固定局域反常约定的共形缺陷真空中,其卡西米尔能量为$-b/(12R)$。自由场和全息计算为这两种嵌入中提出的关系提供了检验。
英文摘要
We distinguish two Casimir observables associated with a conformal surface defect. A circular cylinder embedded in flat space has a logarithmic contribution to its Casimir energy, $-d_1\log(R/ε)/(24R)$, fixed by the displacement anomaly. A great cylinder obtained by radial quantization of the ambient theory instead has Casimir energy $-b/(12R)$ in the conformal defect vacuum with a fixed local anomaly convention. Free-field and holographic calculations provide checks of the proposed relations in both embeddings.
Comments10 pages, 2 figures