2000/06/30 by Joaquim Gomis, Kiyoshi Kamimura, Josep Llosa
Physics and Astronomy · #hep-th
paper · pdf · doi:10.1103/physrevd.63.045003
published as Phys.Rev.D63:045003,2001 · 6 pages, A new section is added with other comments and references. To appear in PRD
arxiv created 2000/11/09 · arxiv updated 2009/11/30
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 ϕ3 theory is considered as an example.