Advanced Technology and Research Corporation (United States)

Transforming the Canonical Lagrangian of a Relativistic Particle for a Smooth Massless Limit: The Einbein Formulation in 1+1 Dimensions

Abstract:This tutorial derives, step by step and without omitting intermediate algebraic manipulations, the reformulation of the canonical square-root action for a relativistic point particle in a generic (1 + 1)-dimensional Lorentzian metric that permits a smooth limit m → 0. Th...

Transforming the Canonical Lagrangian of a Relativistic Particle for a Smooth Massless Limit: The Einbein Formulation in 1+1 Dimensions

Abstract:This tutorial derives, step by step and without omitting intermediate algebraic manipulations, the reformulation of the canonical square-root action for a relativistic point particle in a generic (1 + 1)-dimensional Lorentzian metric that permits a smooth limit m → 0. Th...