Noether’s Theorem in Non-Local Field Theories

Abstract

Explicit expressions are constructed for a locally conserved vector current associated with a continuous internal symmetry and for energy-momentum and angular-momentum density tensors associated with the Poincaré group in field theories with higher-order derivatives and in non-local field theories. We consider an example of non-local charged scalar field equations with broken C (charge conjugation) and CPT (charge conjugation, parity, and time reversal) symmetries. For this case, we find simple analytical expressions for the conserved currents.

Keywords

• non-local field theories
• noether’s theorem
• internal symmetry
• energy-momentum
• angular-momentum
• poincaré group
• charged scalar field
• broken symmetries
• cpt violation