The Nambu-Goto and Polyakov Strings via the Relativistic Particles

TL;DR

This paper derives the Nambu-Goto and Polyakov string actions by modeling the bosonic string as a composite of relativistic particles, revealing their non-uniform motion along the string.

Contribution

It introduces a novel approach by representing the bosonic string as a composite of relativistic particles, deriving key string actions from this perspective.

Findings

Derived Nambu-Goto and Polyakov actions from particle models.

Showed particles move with non-constant speeds along the string.

Provided a new particle-based interpretation of string dynamics.

Abstract

We assume the bosonic string is a composite object of the relativistic particles. The behavior of the relativistic particles in a curve enables us to obtain the Nambu-Goto and the Polyakov actions of the bosonic string. We observe that the particles of these strings move with non-constant speeds along them.