Non-Lorentzian theories with and without constraints

TL;DR

The paper introduces a novel method for constructing non-Lorentzian models using seed Lagrangians, which often introduce constraints that significantly change the models' physical properties, demonstrated across particles, scalars, and vectors.

Contribution

It presents a new systematic approach to generate non-Lorentzian theories that incorporate constraints, expanding the toolkit for theoretical model building.

Findings

Method effectively produces non-Lorentzian models with constraints

Demonstrated on particles, scalars, and vector fields

Constraints can drastically alter physical content

Abstract

We exhibit a new method of constructing non-Lorentzian models by applying a method we refer to as starting from a so-called seed Lagrangian. This method typically produces additional constraints in the system that can drastically alter the physical content of the model. We demonstrate our method for particles, scalars and vector fields.