Canonical Description of the Tachyon Kink in General Background and Hamiltonian for Dp-brane-anti-Dp-brane system

TL;DR

This paper analyzes the tachyon kink solution in the canonical formalism and derives the Hamiltonian for a simplified Dp-brane and anti-Dp-brane system, providing a canonical description of these configurations.

Contribution

It introduces a canonical formalism analysis of the tachyon kink and derives the Hamiltonian for a simplified Dp-brane and anti-Dp-brane system, offering new insights into their dynamics.

Findings

Canonical formalism for tachyon kink analyzed

Hamiltonian derived for Dp-brane and anti-Dp-brane system

Provides a canonical description of brane-antibrane configurations

Abstract

In this short note we present analysis of the tachyon kink solution in the canonical formalism. We also find Hamiltonian for simplified system of Dp-brane and anti-Dp-brane.