Motion of Confined Particles

TL;DR

This paper numerically investigates the motion of classical particles confined within a 'bag' in Minkowski space, focusing on how symmetry breaking influences their trajectories and confinement behavior.

Contribution

It provides a novel numerical analysis of particle trajectories inside a confining region, linking symmetry breaking to particle motion in Minkowski space.

Findings

Particles tend to move toward the interior of the bag under certain initial conditions.

Confining forces are derived from nonconserved currents associated with symmetry breaking.

The structure of particle paths is influenced by the breaking of dilatation and conformal symmetries.

Abstract

We carry out numerical evaluations of the motion of classical particles in Minkowski Space $\mathbb{M}^{4}$ which are confined to the inside of a bag. In particular, we analyze the structure of the paths evolving from the breaking of the dilatation symmetry, the conformal symmetry and the combination of both together. The confining forces arise directly from the corresponding nonconserved currents. We demonstrate in our evaluations that these particles under certain initial conditions move toward the interior of the bag.