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arXiv hep-th/0209050hep-thhep-ph
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在RS1中使用Radius跑步

Running with the Radius in RS1

Adam Lewandowski, Michael J. May, Raman Sundrum

摘要:

我们推导出一个重整化群形式的Randall-Sundrum的情况下,重整化规模是由一个浮动的紧化半径。虽然受AdS/CFT猜想的启发,我们的结果是具体的高维有效场论。具有不同半径的匹配理论导致运行隐藏的膜耦合。隐膜拉格朗日量由四维局部算子组成,这些算子由膜上体场的诱导值构造而成。我们发现隐藏的拉格朗日是非平凡的RG流的不动点。在RS 1中的计算可以通过将有效理论“向下运行”到一个小半径而大大简化。我们通过研究Goldberger-Wise稳定机制来证明这些简化。本文主要研究体标量场的经典和树能级量子场论,它在最简单的情况下展示了RG的本质特征。

英文摘要:

We derive a renormalization group formalism for the Randall-Sundrum scenario, where the renormalization scale is set by a floating compactification radius. While inspired by the AdS/CFT conjecture, our results are derived concretely within higher-dimensional effective field theory. Matching theories with different radii leads to running hidden brane couplings. The hidden brane Lagrangian consists of four-dimensional local operators constructed from the induced value of the bulk fields on the brane. We find hidden Lagrangians which are non-trivial fixed points of the RG flow. Calculations in RS1 can be greatly simplified by ``running down'' the effective theory to a small radius. We demonstrate these simplifications by studying the Goldberger-Wise stabilization mechanism. In this paper, we focus on the classical and tree-level quantum field theory of bulk scalar fields, which demonstrates the essential features of the RG in the simplest context.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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