Lagrangian description of world-line deviations

TL;DR

This paper presents a Lagrangian framework that simultaneously derives the equations of motion and world-line deviations for spinning particles, providing a unified approach to their dynamics.

Contribution

The novel Lagrangian formulation allows for the concurrent derivation of motion equations and deviations for spinning particles, advancing theoretical understanding.

Findings

Unified Lagrangian for motion and deviations

Applicable to spinning particles

Simplifies analysis of world-line deviations

Abstract

We introduce a Lagrangian which can be varied to give both the equation of motion and world-line deviations of spinning particles simultaneously.