Hamiltonian Formalism for Space-time Non-commutative Theories

Details Hamiltonian Formalism for Space-time Non-commutative Theories Hamiltonian Formalism for Space-time Non-commutative Theories

2000-06-29

arxiv.org/abs/hep-th/0006235v4

Phys.Rev.D63:045003,2001

Physics

High Energy Physics

High Energy Physics - Theory

6 pages, A new section is added with other comments and references. To appear in PRD

Scientific paper

10.1103/PhysRevD.63.045003

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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