Rolling Tachyon with Electromagnetic Field in Linear Dilaton Background

TL;DR

This paper investigates the behavior of rolling tachyon on unstable D-branes within a linear dilaton background, analyzing electromagnetic effects, effective couplings, and fluctuation modes using an effective field theory approach.

Contribution

It introduces new solutions for tachyon matter with electromagnetic fields in a linear dilaton background and studies their dynamics and fluctuations.

Findings

Identified solutions with constant electromagnetic fields on tachyon matter.

Analyzed the time evolution of effective coupling in the background.

Explored the properties of fluctuation modes around tachyon matter.

Abstract

Rolling tachyon in linear dilaton background is examined by using an effective field theory with gauge field on an unstable D-brane in bosonic string theory. Several solutions are identified with tachyon matter equipped with constant electromagnetic field in linear dilaton background. The time evolution of effective coupling and the nature of propagating fluctuation modes around the tachyon matter are also studied.