Double-trace operators and one-loop vacuum energy in AdS/CFT

Steven S. Gubser, Indrajit Mitra

Research output: Contribution to journalArticlepeer-review

100 Scopus citations


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 Legendre 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.

Original languageEnglish (US)
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Issue number6
StatePublished - 2003

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)


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