Time evolution of rolling tachyons for a brane-antibrane pair

TL;DR

This paper investigates the detailed time evolution of rolling tachyons in a brane-antibrane system by solving Hamiltonian equations, assuming the tachyon vacuum is nearly achieved far from the branes from the start.

Contribution

It provides a precise analysis of the tachyon dynamics in brane-antibrane pairs using Hamiltonian formalism, highlighting the evolution near the tachyon vacuum.

Findings

Explicit solutions for tachyon evolution equations

Confirmation that tachyon vacuum is nearly achieved far from branes

Insights into the dynamics of brane-antibrane decay

Abstract

A precise form of the time evolution of rolling tachyons corresponding to a brane-antibrane pair is investigated by solving the Hamiltonian equations of motion under the assumption that in a region far away from branes the tachyon vacuum is almost already achieved, even at the beginning of the rolling.