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Holographic renormalization for irrelevant operators and multi-trace counterterms

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Abstract

We investigate the structure of holographic renormalization in the presence of sources for irrelevant operators. By working perturbatively in the sources we avoid issues related to the non-renormalizability of the dual field theory. We find new classes of divergences which appear to be non-local on the gravity side. However in all cases a systematic renormalization procedure exists involving either standard local counterterms or new counterterms which may be interpreted as multi-trace counterterms in the field theory. The multi-trace counterterms reflect a more intricate relation between sources and the asymptotics of bulk fields.

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Authors and Affiliations

  1. C.N. Yang Institute for Theoretical Physics, State University of New York, Stony Brook, NY, 11794-3840, U.S.A.

    Balt C. van Rees

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  1. Balt C. van Rees
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van Rees, B.C. Holographic renormalization for irrelevant operators and multi-trace counterterms. J. High Energ. Phys. 2011, 93 (2011). https://doi.org/10.1007/JHEP08(2011)093

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  • DOI: https://doi.org/10.1007/JHEP08(2011)093

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