Canonical description of the tachyon kink in general background and Hamiltonian for Dp-brane-anti-Dp-brane system

Abstract

In this short note, we present analysis of the tachyon kink solution on the world-volume of unstable Dp-brane in general background as the solution of the Hamiltonian equations of motion. We also find Hamiltonian for simplified system of Dp-brane and anti-Dp-brane and study its properties.