Non-Lorentzian theories with and without constraints

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.
Comment: 24 pages. v2: JHEP version, refs. added