Canonical Formalism of Non-Relativistic Theories Coupled to Newton-Cartan Gravity

Abstract

In this short note we perform canonical analysis of Schrodinger field and non-relativistic electrodynamics coupled to Newton-Cartan gravity. We identify physical degrees of freedom and analyze constraints structure of these theories.

17 pages

References in corpus (5)

• Lifshitz holography
• Spacetime Symmetries of the Quantum Hall Effect
• Torsional Newton-Cartan Geometry from the Noether Procedure
• Non-relativistic fields from arbitrary contracting backgrounds
• Dynamical structure of Carrollian Electrodynamics

Cited by in corpus (1)

• Uniqueness of Galilean Conformal Electrodynamics and its Dynamical Structure