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van Rees, Balt C.

Holographic renormalization for irrelevant operators and multi-trace counterterms. (English) Zbl 1298.81202

J. High Energy Phys. 2011, No. 8, Paper No. 093, 36 p. (2011).
Summary: 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.

Cited in 1 Review
Cited in 24 Documents

MSC:

81T13 Yang-Mills and other gauge theories in quantum field theory
81V17 Gravitational interaction in quantum theory
81T20 Quantum field theory on curved space or space-time backgrounds
81T40 Two-dimensional field theories, conformal field theories, etc. in quantum mechanics
81T15 Perturbative methods of renormalization applied to problems in quantum field theory
83F05 Relativistic cosmology

Keywords:

gauge-gravity correspondence; AdS-CFT correspondence
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\textit{B. C. van Rees}, J. High Energy Phys. 2011, No. 8, Paper No. 093, 36 p. (2011; Zbl 1298.81202)
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