Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-01-27
Nucl.Phys. B579 (2000) 177-208
Physics
High Energy Physics
High Energy Physics - Theory
latex, 42 pages
Scientific paper
10.1016/S0550-3213(00)00222-4
It has recently been shown that the equation of motion of a massless scalar field in the background of some specific p branes can be reduced to a modified Mathieu equation. In the following the absorption rate of the scalar by a D3 brane in ten dimensions is calculated in terms of modified Mathieu functions of the first kind, using standard Mathieu coefficients. The relation of the latter to Dougall coefficients (used by others) is investigated. The S-matrix obtained in terms of modified Mathieu functions of the first kind is easily evaluated if known rapidly convergent low energy expansions of these in terms of products of Bessel functions are used. Leading order terms, including the interesting logarithmic contributions, can be obtained analytically.
Liang Jing-Qiu
Manvelyan Ruben
Mueller-Kirsten Harald J. W.
Zhang Yunbo
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