Exact absorption probabilities for the D3-brane

Akikazu Hashimoto (ITP Santa Barbara); Steven S. Gubser (Princeton)

Exact absorption probabilities for the D3-brane

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arxiv hep-th/9805140 v2 pith:4INLUETC submitted 1998-05-21 hep-th

Steven S. Gubser (Princeton) , Akikazu Hashimoto (ITP Santa Barbara) This is my paper

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keywords equationabsorptionexactmathieuprobabilitiestermsthree-branealgorithm

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We consider a minimal scalar in the presence of a three-brane in ten dimensions. The linearized equation of motion, which is just the wave equation in the three-brane metric, can be solved in terms of associated Mathieu functions. An exact expression for the reflection and absorption probabilities can be obtained in terms of the characteristic exponent of Mathieu's equation. We describe an algorithm for obtaining the low-energy behavior as a series expansion, and discuss the implications for the world-volume theory of D3-branes.

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