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  The one-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence

Nojiri, S., & Odintsov, S. D. (2004). The one-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence. Physical Review D, 69(2): 023511.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5093-6 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0013-5094-4
Genre: Journal Article

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Nojiri, Shin'ichi1, Author
Odintsov, Sergei D., Author
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1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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 Abstract: We calculate the difference of one-loop vacuum energies for massive scalar field in five-dimensional AdS black hole. (The same is done in fivedimensional deSitter space). In each case this difference is specified by the boundary conditions corresponding to the double-trace operator (massive term) and it describes RG flow in the manner discussed by Gubser-Mitra for pure AdS space. For AdS black hole there occurs instability which is the manifestation of the Hawking-Page phase transition. For stable phase of AdS black hole as well as for deSitter bulk, c-function found beyond the leading order approximation shows the monotonic behaviour consistent with c-theorem.

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Language(s): eng - English
 Dates: 2004
 Publication Status: Issued
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 Identifiers: eDoc: 50953
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Title: Physical Review D
Source Genre: Journal
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Pages: - Volume / Issue: 69 (2) Sequence Number: 023511 Start / End Page: - Identifier: -