Teoría de campo escalar con un número indeterminado de derivadas

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...

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Autores:
Morales, J
Tipo de recurso:
Article of journal
Fecha de publicación:
2009
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/73360
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/73360
http://bdigital.unal.edu.co/37835/
Palabra clave:
Field Theory
Canonical Quantization
Higher Derivative.
Teoría de Campos
Cuantización Canónica y Altas Derivadas.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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.