N-point functions in rolling tachyon background

Abstract

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.

30 pages, 2 figures. v2: minor corrections, comments and reference added. v3: revised version, added spatial momentum dependence and references, to appear in PRD

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• New results for the SQCD Hilbert series
• Moduli space of supersymmetric QCD in the Veneziano limit
• Electrostatics approach to closed string pair production from a decaying D-brane
• Travelling Front of a Decaying Brane in String Field Theory
• The energy-momentum tensor of perturbed tachyon matter
• Inhomogeneous tachyon dynamics and the zipper
• High-energy asymptotics of D-brane decay amplitudes from Coulomb gas electrostatics
• Time-dependent Backgrounds in String Theory and Dualities