A Note on the Weyl Anomaly in the Holographic Renormalization Group

Details A Note on the Weyl Anomaly in the Holographic Renormalization Group A Note on the Weyl Anomaly in the Holographic Renormalization Group

2000-07-07

arxiv.org/abs/hep-th/0007062v4

Prog.Theor.Phys. 104 (2000) 1089-1108

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 24 pages, 2 figures, typos corrected

Scientific paper

10.1143/PTP.104.1089

We give a prescription for calculating the holographic Weyl anomaly in arbitrary dimension within the framework based on the Hamilton-Jacobi equation proposed by de Boer, Verlinde and Verlinde. A few sample calculations are made and shown to reproduce the results that are obtained to this time with a different method. We further discuss continuum limits, and argue that the holographic renormalization group may describe the renormalized trajectory in the parameter space. We also clarify the relationship of the present formalism to the analysis carried out by Henningson and Skenderis.

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