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

نویسندگان

  • Steven S. Gubser
  • Indrajit Mitra
  • Joseph Henry
چکیده

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.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

The one - loop vacuum energy and RG flow induced by double - trace operators in AdS / CFT and dS / CFT correspondence

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...

متن کامل

High Energy Scattering in the AdS/CFT Correspondence

This work explores the celebrated AdS/CFT correspondence [1] in the regime of high energy scattering in Anti–de Sitter (AdS) spacetime. In particular, we develop the eikonal approximation to high energy scattering in AdS and explore its consequences for the dual Conformal Field Theory (CFT). Using position space Feynman rules, we rederive the eikonal approximation for high energy scattering in ...

متن کامل

Non - protected operators in N = 4 SYM and multiparticle states of AdS 5 SUGRA

We study a class of non-protected local composite operators which occur in the R symmetry singlet channel of the OPE of two stress-tensor multiplets in N = 4 SYM. At tree level these are quadrilinear scalar dimension four operators, two single-traces and two double-traces. In the presence of interaction, due to a non-trivial mixing under renormalization, they split into linear combinations of c...

متن کامل

Wilson loops in large-N theories

In the AdS/CFT correspondence, correlation functions of conformal fields are related to amplitudes of a quantum theory in AdS [1 – 3] (for a review, see for example [4]). Since the conformal group of the boundary and the isometry group of AdS are identical, correlation functions defined in this way are conformally symmetric. However not all quantum theories in AdS can be related to CFT at the b...

متن کامل

Multi-Trace Deformations in AdS/CFT: Exploring the Vacuum Structure of the Deformed CFT

We present a general and systematic treatment of multi-trace deformations in the AdS/CFT correspondence in the large N limit, pointing out and clarifying subtleties relating to the formulation of the boundary value problem on a conformal boundary. We then apply this method to study multi-trace deformations in the presence of a scalar VEV, which requires the coupling to gravity to be taken into ...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2008