World-Line Description of Fractons

TL;DR

This paper develops a world-line framework for the field theory of fractons, exploring their symmetries, dispersion relations, and pseudoclassical descriptions, advancing understanding of fracton dynamics.

Contribution

It introduces a world-line approach to fracton field theories, including the construction of Routhians and pseudoclassical models, providing new tools for analyzing fracton symmetries.

Findings

Classified fracton models by their dispersion relations.

Constructed Routhians for sub-system symmetry analysis.

Developed pseudoclassical spinning fracton models.

Abstract

We formulate the word-line approach of the field theory of fractons and their symmetries. The distinction between the different models is based on their dispersion relations for the energy. In order to study the sub-system symmetries, we construct the Routhians associated with the particle Lagrangians considered. We also construct the pseudoclassical description of spinning fractons.