Pseudoclassical mechanics and hidden symmetries of 3d particle models

TL;DR

This paper explores hidden symmetries in three-dimensional particle models using pseudoclassical mechanics, linking them to quantum field theory symmetries via reduced phase space Hamiltonians.

Contribution

It introduces a framework connecting pseudoclassical particle models with hidden symmetries in 3D fields and explains their quantum origins.

Findings

Identification of hidden symmetries at the one-particle level

Explanation of symmetries through reduced phase space Hamiltonians

Link between classical pseudoclassical models and quantum field symmetries

Abstract

We discuss hidden symmetries of three-dimensional field configurations revealed at the one-particle level by the use of pseudoclassical particle models. We argue that at the quantum field theory level, these can be naturally explained in terms of manifest symmetries of the reduced phase space Hamiltonian of the corresponding field systems.