Hamiltonian formalism for space-time noncommutative theories

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...

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Bibliographic Details
Authors: Gomis Torné, Joaquim, Kamimura, Kiyoshi, Llosa, Josep
Format: article
Status:Published version
Publication Date:2001
Country:España
Institution:Universidad de Barcelona
Repository:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12318
Online Access:https://hdl.handle.net/2445/12318
Access Level:Open access
Keyword:Teoria de camps (Física)
Partícules (Física nuclear)
Sistemes hamiltonians
Funcions de Lagrange
Field theory (Physics)
Particles (Nuclear physics)
Hamiltonian systems
Lagrangian functions
Description
Summary: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