Holographic renormalization for irrelevant operators and multi-trace counterterms
Feb, 201142 pages
Published in:
- JHEP 08 (2011) 093
e-Print:
- 1102.2239 [hep-th]
Report number:
- YITP-SB-01-02
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Abstract: (arXiv)
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.Note:
- 42 pages
- Gauge-gravity correspondence
- AdS-CFT Correspondence
- renormalization: holography
- nonlocal
- duality
- field theory: conformal
- renormalization: on-shell
- Einstein equation: vacuum
- back reaction
- Ward identity
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