Multitrace operators, boundary conditions, and AdS / CFT correspondence
Dec, 2001Citations per year
Abstract:
We argue that multi-trace interactions in quantum field theory on the boundary of AdS space can be incorporated in the AdS/CFT correspondence by using a more general boundary condition for the bulk fields than has been considered hitherto. We illustrate the procedure for a renormalizable four-dimensional field theory with a (\Tr \Phi^2)^2 interaction. In this example, we show how the AdS fields with the appropriate boundary condition reproduce the renormalization group effects found in the boundary field theory. We also construct in related examples a line of fixed points with a nonperturbative duality, and a flow between two methods of quantization.- field theory: interaction
- space-time: anti-de Sitter
- field theory: conformal
- boundary condition
- renormalization group: fixed point
- duality
- quantization
- matrix model
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