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Lecture notes on holographic renormalization
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DOI：10.1088/0264-9381/19/22/306.png)
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摘要
En 中文
We review the formalism of holographic renormalization. We start by discussing mathematical results on asymptotically anti-de Sitter (AdS) spacetimes. We then outline the general method of holographic renormalization. The method is illustrated by working all details in a simple example: a massive scalar field on anti-de Sitter spacetime. The discussion includes the derivation of the on-shell renormalized action, holographic Ward identities, anomalies and renormalization group (RG) equations, and the computation of renormalized one-, two- and four-point functions. We then discuss the application of the method to holographic RG flows. We also show that the results of the near-boundary analysis of asymptotically AdS spacetimes can be analytically continued to apply to asymptotically de Sitter spacetimes. In particular, it is shown that the Brown-York stress energy tensor of de Sitter spacetime is equal, up to a dimension-dependent sign, to the Brown-York stress energy tensor of an associated AdS spacetime.
Keyword:
YANG-MILLS THEORY
LARGE-N LIMIT
POSITIVE ENERGY
FIELD-THEORIES
ADS/CFT CORRESPONDENCE
GRAVITATIONAL ACTION
ASYMPTOTICALLY ADS
STRESS TENSOR
STRING THEORY
GRAVITY
期刊
IF:
3.7
论文数:
1.3W
被引数:
3.0W
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