TL;DR
This paper investigates the rate of bosonic string pair creation in a parallel Dp-Dp' brane system under an electric field, using path integral formalism to compute the one-loop vacuum amplitude.
Contribution
It introduces a detailed calculation of string pair creation rate in Dp-Dp' branes with background electric fields, highlighting the role of electric field components along common directions.
Findings
String pair creation rate depends on electric field components along shared directions.
The path integral formalism effectively computes the one-loop vacuum amplitude.
Electric fields in specific directions induce pair creation in the brane system.
Abstract
We address the bosonic string pair creation in a system of parallel Dp-Dp' (p<p') branes by applying 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 field defined over the Dp'-brane. It is pointed out that just the components of the electric field defined over the spatial directions (the common directions along which the both D-branes are extended) give rise to the pair creation
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