Electrostatics approach to closed string pair production from a decaying D-brane

TL;DR

This paper models the emission of closed string pairs from a decaying D-brane using an electrostatics analogy, revealing exponential decay of the emission amplitude at high energies.

Contribution

It introduces an electrostatics-based method to analyze closed string pair production from decaying D-branes, providing simplified expressions and high-energy behavior insights.

Findings

Amplitude decays exponentially at high energies

Identifies poles in s- and t-channel emissions

Provides simplified results for equal energy emissions

Abstract

We consider the emission of two closed string tachyons from a decaying Dp-brane in bosonic string theory. We study the high energy limit of the emission amplitude by using an analogue to electrostatics. The case where the emitted strings have equal energies is analyzed in detail, and we obtain a relatively simple result for the emission amplitude. We identify expected poles for s- and t-channel emission. In the high energy limit, the amplitude decays exponentially (~e^{-2\pi\omega}) or faster in the energies \omega of the closed strings.