Conformal symmetry for relativistic point particles: an addendum

TL;DR

This paper extends previous work on conformal invariance for relativistic point particles by introducing a general Lagrangian using a conformal tensor that enables invariant velocity expressions at different spacetime points.

Contribution

It introduces a more general conformal invariant Lagrangian for two relativistic particles using a conformal tensor transforming as a Wilson line.

Findings

Developed a new conformal invariant Lagrangian with a conformal tensor.

Constructed invariant velocity expressions at different spacetime points.

Extended the theoretical framework of conformal symmetry in relativistic particle models.

Abstract

We extend the results of our previous work on the conformal invariant description of two relativistic point particles. We consider here the most general lagrangian by using a conformal tensor $h_{\mu\nu}$, transforming as a Wilson line, and that allows us to construct invariant expressions for velocities taken at two different space-time points.