Schwinger Effect in Non-parallel D1-branes: A Path Integral Approach

TL;DR

This paper investigates the Schwinger effect in a system of non-parallel D1-branes using path integral methods, revealing an angle-dependent threshold for string pair creation and vacuum stability at orthogonal branes.

Contribution

It introduces a path integral approach to analyze the Schwinger effect in non-parallel D1-branes, identifying an angle-dependent critical electric field for pair production.

Findings

Pair creation occurs above a certain angle-dependent electric field threshold.

Vacuum stability is achieved when the branes are orthogonal, with no pair creation.

The pair creation rate diminishes as the angle approaches 90 degrees.

Abstract

We study the Schwinger effect in a system of non-parallel D1-branes for the bosonic strings using the path integral formalism. We drive the string pair creation rate by calculating the one loop vacuum amplitude of the setup in presence of the background electric filed defined along one of the D1-branes. We find an angle dependent minimum value for the background field and show that the decaying of vacuum into string pairs takes place for the field above this value. It is shown that in $\theta\rightarrow\frac{\pi}{2}$ limit the vacuum becomes stable and thus no pair creation occurs.