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AdS DYNAMICS FOR MASSIVE SCALAR FIELD: EXACT SOLUTIONS vs. BULK-BOUNDARY PROPAGATOR

ZHE CHANG

Institute of High Energy Physics, Academia Sinica, PO Box 918(4), Beijing 100039, China

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CHENG-BO GUAN

Institute of High Energy Physics, Academia Sinica, PO Box 918(4), Beijing 100039, China

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HAN-YING GUO

Institute of Theoretical Physics, Academia Sinica, PO Box 2735, Beijing 100080, China

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https://doi.org/10.1142/S0217751X03013739Cited by:3 (Source: Crossref)

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 timelike Killing vector, which is not only invariant under spacelike 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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