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

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...

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Bibliographic Details
Published inarXiv.org
Main Authors Chang, Z, Guan, C B, Guo, H Y
Format Paper
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.04.2001
Subjects
Coordinates
Equations of motion
Exact solutions
Invariants
Mathematical analysis
Singularities
Transformations
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0104251