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.
Keywords
Cite
@article{arxiv.hep-th/0302054,
title = {The one-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence},
author = {Shin'ichi Nojiri and Sergei D. Odintsov},
journal= {arXiv preprint arXiv:hep-th/0302054},
year = {2009}
}
Comments
LaTeX file, 3 eps files, 26 pages. The discussion is clarified, version to appear in PRD