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

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 five-dimensional 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.

LaTeX file, 3 eps files, 26 pages. The discussion is clarified, version to appear in PRD

References in corpus (6)

• A universal result on central charges in the presence of double-trace deformations
• Casimir effect in de Sitter and Anti-de Sitter braneworlds
• Double-trace operators and one-loop vacuum energy in AdS/CFT
• Interacting Quantum Field Theory in de Sitter Vacua
• The Casimir Effect on Background of Conformally Flat Brane--World Geometries
• Holographic Renormalization Group

Cited by in corpus (10)

• Dynamics in Non-Globally-Hyperbolic Static Spacetimes III: Anti-de Sitter Spacetime
• Double-Trace Deformations, Mixed Boundary Conditions and Functional Determinants in AdS/CFT
• Electromagnetic Properties of Kerr-Anti-de Sitter Black Holes
• Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
• Polyakov formulas for GJMS operators from AdS/CFT
• Gyromagnetic Ratio of Charged Kerr-Anti-de Sitter Black Holes
• Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
• Bound States in the AdS/CFT Correspondence
• One-loop effective potential from higher-dimensional AdS black holes
• Vacuum densities for a thick brane in AdS spacetime