Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2003-06-11
JHEP 0309:032,2003
Physics
High Energy Physics
High Energy Physics - Theory
21 pages, 2 figures
Scientific paper
10.1088/1126-6708/2003/09/032
In the past decades, time ordered perturbation theory was very successful in describing relativistic scattering processes. It was developed for local quantum field theories. However, there are field theories which are governed by non-local interactions, for example non-commutative quantum field theory (NCQFT). Filk (Phys. Lett. B 376 (1996) 53) first studied NCQFT perturbatively obtaining the usual Feynman propagator and additional phase factors as the basic elements of perturbation theory. However, this treatment is only applicable for cases, where the deformation of space-time does not involve time. Thus, we generalize Filk's approach in two ways: First, we study non-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 applications of the obtained formalism will also be discussed.
Denk Stefan
Schweda Manfred
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