this came out April 5, 2004(adsbygoogle = window.adsbygoogle || []).push({});

http://arxiv.org/hep-th/0404039

"String Scattering from Decaying Branes"

Vijay Balasubramanian, Esko Keski-Vakkuri, Per Kraus, Asad Naqvi

Abstract: "We develop the general formalism of string scattering from decaying D-branes in bosonic string theory. In worldsheet perturbation theory, amplitudes can be written as a sum of correlators in a grand canonical ensemble of unitary random matrix models, with time setting the fugacity. An approach employed in the past for computing amplitudes in this theory involves an unjustified analytic continuation from special integer momenta. We give an alternative formulation which is well-defined for general momenta. We study the emission of closed strings from a decaying D-brane with initial conditions perturbed by the addition of an open string vertex operator. Using an integral formula due to Selberg, the relevant amplitude is expressed in closed form in terms of zeta functions. Perturbing the initial state can suppress or enhance the emission of high energy closed strings for extended branes, but enhances it for D_{0}-branes. The closed string two point function is expressed as a sum of Toeplitz determinants of certain hypergeometric functions. A large N limit theorem due to Szego, and its extension due to Borodin and Okounkov, permits us to compute approximate results showing that previous naive analytic continuations amount to the large N approximation of the full result. We also give a free fermion formulation of scattering from decaying D-branes and describe the relation to a grand canonical ensemble for a 2d Coulomb gas."

it has been a bit quiet here lately so I am offering the above for discussion in case anyone feels inclined to comment. I am relying somewhat on other poster's judgement and discretion in this matter. If this paper is not deemed worthy of comment then perhaps another will be offered instead.

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# String Scattering From Decaying Branes

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