Teoría de Campo Escalar con un Número Indeterminado de Derivadas

Abstract

I present the application of Ostrogradski Canonical method in relativistic field theories. A scalar field theory based on a Lagrangian density with an infinite number derivatives is considered. I obtain, the currents and conserved charges, when the arbitrary variations in the coordinates and fields are imposed, as well as, the most general form of the canonical conjugated momentums for any order in the derivatives, and the different commutation relations of the fields in the Hamiltonian formalins. Finally, it is shown that our results are consistent with those obtained from second order derivatives.

Keywords

• Teoría de Campos
• Cuantización Canónica y Altas Derivadas.