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In the past decades, time ordered perturbation theory was very successful indescribing relativistic scattering processes. It was developed for localquantum field theories. However, there are field theories which are governed bynon-local interactions, for example non-commutative quantum field theory(NCQFT). Filk (Phys. Lett. B 376 (1996) 53) first studied NCQFT perturbativelyobtaining the usual Feynman propagator and additional phase factors as thebasic elements of perturbation theory. However, this treatment is onlyapplicable for cases, where the deformation of space-time does not involvetime. Thus, we generalize Filk's approach in two ways: First, we studynon-local interactions of a very general type able to embed NCQFT. And second,we also include the case, where non-locality involves time. A few applicationsof the obtained formalism will also be discussed.Comment: 21 pages, 2 figure

Time ordered perturbation theory for non-local interactions; applications to NCQFT