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Phys. Rev. D 63, 045003 (2001) [6 pages]

Hamiltonian formalism for space-time noncommutative theories

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Joaquim Gomis1,2, Kiyoshi Kamimura3, and Josep Llosa4
1Theory Division, CH-1211 Geneva 23, Switzerland
2Departament ECM, Facultat de Física, Universitat de Barcelona and Institut de Física d’Altes Energies, Diagonal 647, E-08028 Barcelona, Spain
3Department of Physics, Toho University, Funabashi 274-8510, Japan
4Departament de Física Fonamental, Universitat de Barcelona, Diagonal 647, E-08028 Barcelona, Spain

Received 5 July 2000; published 12 January 2001

Space-time non-commutative theories are nonlocal 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 φ3 theory is considered as an example.


©2001 The American Physical Society

URL: http://link.aps.org/abstract/PRD/v63/e045003
DOI: 10.1103/PhysRevD.63.045003
PACS: 11.10.Ef, 11.10.Lm, 11.15.Kc

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