High-energy asymptotics of D-brane decay amplitudes from Coulomb gas electrostatics

TL;DR

This paper analyzes the high-energy behavior of D-brane decay amplitudes in bosonic string theory using electrostatic Coulomb gas models, providing explicit formulas for their exponential decay rates.

Contribution

It introduces a novel electrostatic Coulomb gas approach to compute high-energy asymptotics of D-brane decay amplitudes, linking string theory with electrostatics.

Findings

Derived explicit formulas for leading exponential behavior of amplitudes.

Analyzed two open and one closed string amplitude, and four open string amplitudes.

Provided insights into the decay process at high energies.

Abstract

We study the high-energy limit of tree-level string production amplitudes from decaying D-branes in bosonic string theory, interpreting the vertex operators as external charges interacting with a Coulomb gas corresponding to the rolling tachyon background, and performing an electrostatic analysis. In particular, we consider two open string - one closed string amplitudes and four open string amplitudes, and calculate explicit formulas for the leading exponential behavior.