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

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

Steven S. Gubser
(
- Princeton U.
)
,
Indrajit Mitra
(
- Princeton U.
)

Oct, 2002

17 pages

Published in:

Phys.Rev.D 67 (2003) 064018

e-Print:

hep-th/0210093 [hep-th]

DOI:

10.1103/PhysRevD.67.064018

Report number:

PUPT-2051

View in:

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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 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.

04.62.+v
field theory: conformal
field theory: anti-de Sitter
boundary condition
vacuum state: energy
tachyon
renormalization group: transformation
renormalization group: c-function
expansion 1/N
analytic properties

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