Bosonic String Dynamics

TL;DR

This paper provides a comprehensive review of bosonic string dynamics, including the string action, equations of motion, and effective mass, serving as a foundational overview in string theory.

Contribution

It offers a detailed synthesis of the bosonic string formulation, bridging physics and mathematics, and clarifies core concepts for researchers in the field.

Findings

Derivation of the bosonic string action and equations of motion

Analysis of the effective mass of open and closed strings

Clarification of the role of string theory in physics and mathematics

Abstract

String Theory is a hot topic of physics and mathematics. For the former, it stands as a huge sandbox where the formulation of difficult problems can be simplified and their hard computations carried out. For the latter, it stands as a direct contribution upstream, going from physics to maths, rather than the usual other way around. These notes provide a comprehensive review of the bosonic string action, the entering point of String Theory, and also covers the resulting equations of motion and the effective mass of open and closed strings.