Currents as Dynamical Variables

Abstract
A dynamical theory of currents is presented. For each current there are a complete set of field equations and a complete set of equal-time commutators. These are related by expressing the energy-momentum tensor solely in terms of the currents and not of derivatives of the currents. The requirements of Lorentz covariance place severe restrictions on the commutators. Several models with and without internal symmetry are discussed.