AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator

Details AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator

2001-04-29

arxiv.org/abs/hep-th/0104251v1

Int.J.Mod.Phys. A18 (2003) 1657-1670

Physics

High Energy Physics

High Energy Physics - Theory

LaTeX, 18 pages, 3 eps figures

Scientific paper

10.1142/S0217751X03013739

AdS dynamics for massive scalar field is studied both by solving exactly the equation of motion and by constructing bulk-boundary propagator. A Robertson-Walker-like metric is deduced from the familiar SO(2,n) invariant metric. The metric allows us to present a time-like Killing vector, which is not only invariant under space-like transformations but also invariant under the isometric transformations of SO(2,n) in certain sense. A horizon appears in this coordinate system. Singularities of field variables at boundary are demonstrated explicitly. It is shown that there is a one-to-one correspondence among the exact solutions and the bulk fields obtained by using the bulk-boundary propagator.

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