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Report number hep-th/0006235 ; UB-ECM-PF-00-08 ; TOHO-FP-0067 ; CERN-TH-2000-186 ; LFM-SCF-2000-1 ; UB-ECM-PF-2000-08
Title Hamiltonian Formalism for Space-time Non-commutative Theories
Author(s) Gomis, Joaquim (CERN ; Barcelona, IFAE) ; Kamimura, Kiyoshi (Toho U.) ; Llosa, Josep (Barcelona, IFAE)
Affiliation (CERN) ; (Univ. Barcelona) ; (Toho Univ. Funabashi) ; (TOHO-FP-0067)
Publication 2001
Imprint 29 Jun 2000
Number of pages 4
In: Phys. Rev. D 63 (2001) 045003
DOI 10.1103/PhysRevD.63.045003
Subject category Particle Physics - Theory
Abstract 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.

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