Double-trace operators and one-loop vacuum energy in AdS/CFT
High Energy Physics - Theory
2009-11-07 v2
Abstract
We perform a one-loop calculation of the vacuum energy of a tachyon field in anti de-Sitter space with boundary conditions corresponding to the presence of a double-trace operator in the dual field theory. Such an operator can lead to a renormalization group flow between two different conformal field theories related to each other by a Legengre transformation in the large N limit. The calculation of the one-loop vacuum energy enables us to verify the holographic c-theorem one step beyond the classical supergravity approximation.
Cite
@article{arxiv.hep-th/0210093,
title = {Double-trace operators and one-loop vacuum energy in AdS/CFT},
author = {Steven S. Gubser and Indrajit Mitra},
journal= {arXiv preprint arXiv:hep-th/0210093},
year = {2009}
}
Comments
18 pages, latex, one figure. v2: reference added, typos corrected