Moving Branes in Presence of the Background Tachyon Fields

TL;DR

This paper analyzes how background tachyon fields influence the boundary states of moving D-branes, revealing effects on brane dimensionality and interaction behaviors, with implications for string theory dynamics.

Contribution

It introduces a method to compute boundary states of moving D-branes with tachyon backgrounds and explores their effects on brane properties and interactions.

Findings

Tachyon condensation reduces brane dimensionality.

Background tachyon fields alter long-range interaction behavior.

Boundary states reflect transitions to lower-dimensional or instantonic branes.

Abstract

We compute the boundary state associated with a moving D$p$-brane in the presence of the open string tachyon field as a background field. The effect of the tachyon condensation on the boundary state will be discussed. It leads to a boundary state associated with a lower dimensional moving D-brane or a stationary instantonic D-brane. The former originates from condensation along the spatial directions and the latter comes from the temporal direction of the D-brane's worldvolume. Using the boundary state we also study the interaction amplitude between two arbitrary D$p_1$ and D$p_2$-branes. The long range behavior of the amplitude is investigated which shows an obvious deviation from the conventional form, due to the presence of the background tachyon field.