Holographic trace anomaly and local renormalization group
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JHEP11(2015)216_pdfa.pdf
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Author(s)
Stergiou, Andreas
Rajagopal, Srivatsan
Zhu, Elton
Date Issued
November 2015
Journal
Journal of High Energy Physics
Publisher
Springer/SISSA
Citation
Rajagopal, Srivatsan, Andreas Stergiou, and Yechao Zhu. “Holographic Trace Anomaly and Local Renormalization Group.” J. High Energ. Phys. 2015, no. 11 (November 2015).
Version
Final published version
Abstract
The Hamilton-Jacobi method in holography has produced important results both at a renormalization group (RG) fixed point and away from it. In this paper we use the Hamilton-Jacobi method to compute the holographic trace anomaly for four- and six-dimensional boundary conformal field theories (CFTs), assuming higher-derivative gravity and interactions of scalar fields in the bulk. The scalar field contributions to the anomaly appear in CFTs with exactly marginal operators. Moving away from the fixed point, we show that the Hamilton-Jacobi formalism provides a deep connection between the holographic and the local RG. We derive the local RG equation holographically, and verify explicitly that it satisfies Weyl consistency conditions stemming from the commutativity of Weyl scalings. We also consider massive scalar fields in the bulk corresponding to boundary relevant operators, and comment on their effects to the local RG equation.
MIT Department
Massachusetts Institute of Technology. Center for Theoretical Physics
Massachusetts Institute of Technology. Department of Physics
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DOI of Published Version
https://doi.org/10.1007/JHEP11(2015)216
