N-point functions in rolling tachyon background

Details N-point functions in rolling tachyon background N-point functions in rolling tachyon background

2008-06-09

arxiv.org/abs/0806.1491v3

Phys.Rev.D79:086013,2009

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, 2 figures. v2: minor corrections, comments and reference added. v3: revised version, added spatial momentum dependen

Scientific paper

10.1103/PhysRevD.79.086013

We study n-point boundary correlation functions in Timelike Boundary Liouville theory, relevant for open string multiproduction by a decaying unstable D-brane. We give an exact result for the one-point function of the tachyon vertex operator and show that it is consistent with a previously proposed relation to a conserved charge in string theory. We also discuss when the one-point amplitude vanishes. Using a straightforward perturbative expansion, we find an explicit expression for a tachyon n-point amplitude for all n, however the result is still a toy model. The calculation uses a new asymptotic approximation for Toeplitz determinants, derived by relating the system to a Dyson gas at finite temperature.

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