Canonical quantization of nonlocal field equations
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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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_0217751X_v11_n12_p2111_Barci |
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todo:paper_0217751X_v11_n12_p2111_Barci2023-10-03T15:10:30Z Canonical quantization of nonlocal field equations Barci, D.G. Oxman, L.E. Rocca, M. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_0217751X_v11_n12_p2111_Barci |
| institution |
Universidad de Buenos Aires |
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I-28 |
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R-134 |
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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. |
| format |
JOUR |
| author |
Barci, D.G. Oxman, L.E. Rocca, M. |
| spellingShingle |
Barci, D.G. Oxman, L.E. Rocca, M. Canonical quantization of nonlocal field equations |
| author_facet |
Barci, D.G. Oxman, L.E. Rocca, M. |
| author_sort |
Barci, D.G. |
| 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 |
| url |
http://hdl.handle.net/20.500.12110/paper_0217751X_v11_n12_p2111_Barci |
| work_keys_str_mv |
AT barcidg canonicalquantizationofnonlocalfieldequations AT oxmanle canonicalquantizationofnonlocalfieldequations AT roccam canonicalquantizationofnonlocalfieldequations |
| _version_ |
1807320905598107648 |