Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2002-09-30
Eur.Phys.J.C29:133-141,2003
Physics
High Energy Physics
High Energy Physics - Theory
16 pages, LaTeX, uses feynmf macros, one reference added; ooops, version 2 was an older one!
Scientific paper
10.1140/epjc/s2003-01210-9
As argued previously, amplitudes of quantum field theories on noncommutative space and time cannot be computed using naive path integral Feynman rules. One of the proposals is to use the Gell-Mann--Low formula with time-ordering applied before performing the integrations. We point out that the previously given prescription should rather be regarded as an interaction point time-ordering. Causality is explicitly violated inside the region of interaction. It is nevertheless a consistent procedure, which seems to be related to the interaction picture of quantum mechanics. In this framework we compute the one-loop self-energy for a space/time noncommutative \phi^4 theory. Although in all intermediate steps only three-momenta play a role, the final result is manifestly Lorentz covariant and agrees with the naive calculation. Deriving the Feynman rules for general graphs, we show, however, that such a picture holds for tadpole lines only.
Bozkaya H.
Fischer Paul
Grosse Harald
Pitschmann Mario
Putz Victor
No associations
LandOfFree
Space/time noncommutative field theories and causality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Space/time noncommutative field theories and causality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Space/time noncommutative field theories and causality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-694093