论文标题
全息图
Large Numbers in Holography
论文作者
论文摘要
当$ n _ {\ textsf {c}} $表征边界场理论的颜色数量$ n _ {\ textsf {c}} $时，AD/CFT对应主要是有用的，而当通常存在的散装黑孔的质量相对于散装块Planck Mass，则是“大”。但这提示了两个问题：首先，在给定的应用程序中是否可以估计这些大数字？第二：如果这些数量本身是根据构成现场理论的物理数据来计算全息的，那么该计算是自一吻的，因为它实际上会产生大量，这远非显而易见吗？在这里，我们考虑了将全息技术应用于Quark-Gluon等离子体的研究的情况。我们发现，在这种情况下，全息图能够生成所讨论的无量纲数的估计，尽管无量纲输入数据是订单统一的事实，但它们确实很大。
The AdS/CFT correspondence is useful primarily when the number of colours, $N_{\textsf{c}}$, characterising the boundary field theory, is "large", and when the mass of the bulk black hole that is usually present is "large" relative to the bulk Planck mass. But this prompts two questions: first, can these large numbers be estimated, even very approximately, in a given application? Second: if these quantities are themselves computed holographically from physical data constraining the field theory, is this computation self-consistent, in the sense that it actually produces large numbers, an outcome which is far from obvious? Here we consider these questions in the case of the application of holographic techniques to the study of the quark-gluon plasma. We find that holography in this case is able to generate estimates of the dimensionless numbers in question, and, very remarkably, they are indeed large, despite the fact that the dimensionless input data are of order unity.
