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

Z. Chang·C. B. Guan·H. Y. Guo
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Abstract

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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Z. Chang, C. B. Guan, H. Y. Guo. 2001-04-29. AdS Dynamics for Massive Scalar Field: exact solutions vs. bulk-boundary propagator. https://doi.org/10.1142/s0217751x03013739

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