Canonical quantization of nonlocal 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'...

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Autor principal: Oxman, Luis E.
Publicado: 1996
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v11_n12_p2111_Barci
http://hdl.handle.net/20.500.12110/paper_0217751X_v11_n12_p2111_Barci
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_0217751X_v11_n12_p2111_Barci
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spelling paper:paper_0217751X_v11_n12_p2111_Barci2023-06-08T15:21:05Z Canonical quantization of nonlocal field equations Oxman, Luis E. 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 Poincaré 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. Fil:Oxman, L.E. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 1996 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v11_n12_p2111_Barci http://hdl.handle.net/20.500.12110/paper_0217751X_v11_n12_p2111_Barci
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
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 Poincaré 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.
author Oxman, Luis E.
spellingShingle Oxman, Luis E.
Canonical quantization of nonlocal field equations
author_facet Oxman, Luis E.
author_sort Oxman, Luis E.
title Canonical quantization of nonlocal field equations
title_short Canonical quantization of nonlocal field equations
title_full Canonical quantization of nonlocal field equations
title_fullStr Canonical quantization of nonlocal field equations
title_full_unstemmed Canonical quantization of nonlocal field equations
title_sort canonical quantization of nonlocal field equations
publishDate 1996
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0217751X_v11_n12_p2111_Barci
http://hdl.handle.net/20.500.12110/paper_0217751X_v11_n12_p2111_Barci
work_keys_str_mv AT oxmanluise canonicalquantizationofnonlocalfieldequations
_version_ 1768542456275533824

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