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

Steven S. Gubser; Indrajit Mitra

doi:10.1103/PhysRevD.67.064018

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

Steven S. Gubser, Indrajit Mitra

Physics

Research output: Contribution to journal › Article › peer-review

102 Scopus citations

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 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 language	English (US)
Journal	Physical Review D - Particles, Fields, Gravitation and Cosmology
Volume	67
Issue number	6
DOIs	https://doi.org/10.1103/PhysRevD.67.064018
State	Published - 2003

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics
Physics and Astronomy (miscellaneous)

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10.1103/PhysRevD.67.064018

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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 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.",

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AB - 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.

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JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

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

Abstract

All Science Journal Classification (ASJC) codes

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