Holographic renormalization for irrelevant operators and multi-trace counterterms

Details Holographic renormalization for irrelevant operators and multi-trace counterterms Holographic renormalization for irrelevant operators and multi-trace counterterms

2011-02-10

arxiv.org/abs/1102.2239v1

Physics

High Energy Physics

High Energy Physics - Theory

42 pages

Scientific paper

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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