On Dynamics of Strings and Branes

TL;DR

This paper investigates the dynamics of Nambu-Goto strings and branes, demonstrating they can be modeled as limits of discrete relativistic particles and deriving their evolution operators from fundamental principles.

Contribution

It introduces a novel approach to modeling strings and branes as limits of discrete particles, deriving their evolution operators from first principles.

Findings

Strings and branes can be viewed as continuous limits of discrete relativistic particles.

Linear unphysical momentum constraints are identified.

Evolution operators are derived from fundamental principles.

Abstract

We study Nambu-Goto strings and branes. It is shown that they can be considered as continuous limits of ordered discrete sets of relativistic particles for which the tangential velocities are excluded from the action. The linear in unphysical momenta constraints are found. It allows to derive the evolution operators for the objects under consideration from the "first principles".