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Article

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Published version

Publication date

2001

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/12318

Hamiltonian formalism for space-time noncommutative theories

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http://dx.doi.org/10.1103/PhysRevD.63.045003

Abstract

Space-time non-commutative theories are non-local in time. We develop the Hamiltonian formal-ism for non-local field theories in d space-time dimensions by considering auxiliary d+1 dimensionalfield theories which are local with respect to the evolution time. The Hamiltonian path integralquantization is considered and the Feynman rules in the Lagrangian formalism are derived. Thecase of non-commutative φ theory is considered as an example

Subject

Teoria de camps (Física), Partícules (Física nuclear), Sistemes hamiltonians, Funcions de Lagrange

Subject (English)

Field theory (Physics), Particles (Nuclear physics), Hamiltonian systems, Lagrangian functions

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

GOMIS TORNÉ, Joaquim, KAMIMURA, Kiyoshi and LLOSA, Josep. Hamiltonian formalism for space-time noncommutative theories. Physical Review D. 2001. Vol. 63, num. 4, pags. 045003-1-045003-6. ISSN 0556-2821. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/12318

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