Hamiltonian Formalism for Space-time Non-commutative Theories

Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for field theories in d space-time dimensions by considering an auxilliary d+1 field theory which is local with respect to the extra evolution time. The Hamiltonian path integral quantization is considere...

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Detalles Bibliográficos
Autores principales: Gomis, Joaquim, Kamimura, Kiyoshi, Llosa, Josep
Lenguaje:eng
Publicado: 2000
Materias:
Particle Physics - Theory
Acceso en línea:https://dx.doi.org/10.1103/PhysRevD.63.045003
http://cds.cern.ch/record/445394
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author Gomis, Joaquim
Kamimura, Kiyoshi
Llosa, Josep
author_facet Gomis, Joaquim
Kamimura, Kiyoshi
Llosa, Josep
author_sort Gomis, Joaquim
collection CERN
description Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for field theories in d space-time dimensions by considering an auxilliary d+1 field theory which is local with respect to the extra evolution time. The Hamiltonian path integral quantization is considered. The case of NC $\phi^3$ is considered as an example. The non-unitarity of these theories can be deduced from this analysis.
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institution Organización Europea para la Investigación Nuclear
language eng
publishDate 2000
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spelling cern-4453942023-03-12T05:36:59Zdoi:10.1103/PhysRevD.63.045003http://cds.cern.ch/record/445394engGomis, JoaquimKamimura, KiyoshiLlosa, JosepHamiltonian Formalism for Space-time Non-commutative TheoriesParticle Physics - TheorySpace-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for field theories in d space-time dimensions by considering an auxilliary d+1 field theory which is local with respect to the extra evolution time. The Hamiltonian path integral quantization is considered. The case of NC $\phi^3$ is considered as an example. The non-unitarity of these theories can be deduced from this analysis.Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formalism for non-local field theories in d space-time dimensions by considering auxiliary d+1 dimensional field theories which are local with respect to the evolution time. The Hamiltonian path integral quantization is considered and the Feynman rules in the Lagrangian formalism are derived. The case of non-commutative \phi^3 theory is considered as an example.hep-th/0006235UB-ECM-PF-00-08TOHO-FP-0067CERN-TH-2000-186LFM-SCF-2000-1UB-ECM-PF-2000-08oai:cds.cern.ch:4453942000-06-29
spellingShingle Particle Physics - Theory
Gomis, Joaquim
Kamimura, Kiyoshi
Llosa, Josep
Hamiltonian Formalism for Space-time Non-commutative Theories
title Hamiltonian Formalism for Space-time Non-commutative Theories
title_full Hamiltonian Formalism for Space-time Non-commutative Theories
title_fullStr Hamiltonian Formalism for Space-time Non-commutative Theories
title_full_unstemmed Hamiltonian Formalism for Space-time Non-commutative Theories
title_short Hamiltonian Formalism for Space-time Non-commutative Theories
title_sort hamiltonian formalism for space-time non-commutative theories
topic Particle Physics - Theory
url https://dx.doi.org/10.1103/PhysRevD.63.045003
http://cds.cern.ch/record/445394
work_keys_str_mv AT gomisjoaquim hamiltonianformalismforspacetimenoncommutativetheories
AT kamimurakiyoshi hamiltonianformalismforspacetimenoncommutativetheories
AT llosajosep hamiltonianformalismforspacetimenoncommutativetheories

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