Canonical quantization of non-local field equations

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We consistently quantize a class of relativistic nonlocal field equations characterized by a nonlocal kinetic term in the Lagrangian. We solve the classical nonlocal equations of motion for a scalar field and evaluate the on-shell Hamiltonian. The quantization is realized by imposing Heisenberg’s eq...

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Detalles Bibliográficos
Autores principales: Barci, Daniel Gustavo, Oxman, Luis E., Rocca, Mario Carlos
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 1996
Materias:
Física
Propagator
Scalar field
Quantization (physics)
Physics
Equations of motion
Canonical quantization
Hamiltonian (quantum mechanics)
Gauge theory
Kinetic term
Mathematical physics
Covariant Hamiltonian field theory
Quantum field theory
BRST quantization
Classical mechanics
Mathematical descriptions of the electromagnetic field
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122876
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122876
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Propagator
Scalar field
Quantization (physics)
Physics
Equations of motion
Canonical quantization
Hamiltonian (quantum mechanics)
Gauge theory
Kinetic term
Mathematical physics
Covariant Hamiltonian field theory
Quantum field theory
BRST quantization
Classical mechanics
Mathematical descriptions of the electromagnetic field
spellingShingle Física
Propagator
Scalar field
Quantization (physics)
Physics
Equations of motion
Canonical quantization
Hamiltonian (quantum mechanics)
Gauge theory
Kinetic term
Mathematical physics
Covariant Hamiltonian field theory
Quantum field theory
BRST quantization
Classical mechanics
Mathematical descriptions of the electromagnetic field
Barci, Daniel Gustavo
Oxman, Luis E.
Rocca, Mario Carlos
Canonical quantization of non-local field equations
topic_facet Física
Propagator
Scalar field
Quantization (physics)
Physics
Equations of motion
Canonical quantization
Hamiltonian (quantum mechanics)
Gauge theory
Kinetic term
Mathematical physics
Covariant Hamiltonian field theory
Quantum field theory
BRST quantization
Classical mechanics
Mathematical descriptions of the electromagnetic field
description We consistently quantize a class of relativistic nonlocal field equations characterized by a nonlocal kinetic term in the Lagrangian. We solve the classical nonlocal equations of motion for a scalar field and evaluate the on-shell Hamiltonian. The quantization is realized by imposing Heisenberg’s equation, which leads to the commutator algebra obeyed by the Fourier components of the field. We show that the field operator carries, in general, a reducible representation of the Poincare group. We also consider the Gupta-Bleuler quantization of a nonlocal gauge theory and analyze the propagators and the physical modes of the gauge field.
format Articulo
Preprint
author Barci, Daniel Gustavo
Oxman, Luis E.
Rocca, Mario Carlos
author_facet Barci, Daniel Gustavo
Oxman, Luis E.
Rocca, Mario Carlos
author_sort Barci, Daniel Gustavo
title Canonical quantization of non-local field equations
title_short Canonical quantization of non-local field equations
title_full Canonical quantization of non-local field equations
title_fullStr Canonical quantization of non-local field equations
title_full_unstemmed Canonical quantization of non-local field equations
title_sort canonical quantization of non-local field equations
publishDate 1996
url http://sedici.unlp.edu.ar/handle/10915/122876
work_keys_str_mv AT barcidanielgustavo canonicalquantizationofnonlocalfieldequations
AT oxmanluise canonicalquantizationofnonlocalfieldequations
AT roccamariocarlos canonicalquantizationofnonlocalfieldequations
bdutipo_str Repositorios
_version_ 1764820449378697220

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