Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2000-07-19
Eur.Phys.J.C20:767-772,2001
Physics
High Energy Physics
High Energy Physics - Theory
10 pages, plain LaTeX
Scientific paper
10.1007/s100520100664
Violation of unitarity for noncommutative field theory on compact space-times is considered. Although such theories are free of ultraviolet divergences, they still violate unitarity while in a usual field theory such a violation occurs when the theory is nonrenormalizable. The compactness of space-like coordinates implies discreteness of the time variable which leads to appearance of unphysical modes and violation of unitarity even in the absence of a star-product in the interaction terms. Thus, this conclusion holds also for other quantum field theories with discrete time. Violation of causality, among others, occurs also as the nonvanishing of the commutation relations between observables at space-like distances with a typical scale of noncommutativity. While this feature allows for a possible violation of the spin-statistics theorem, such a violation does not rescue the situation but makes the scale of causality violation as the inverse of the mass appearing in the considered model, i.e., even more severe. We also stress the role of smearing over the noncommutative coordinates entering the field operator symbols.
Chaichian Masud
Demichev Andrei
Prešnajder Peter
Tureanu Anca
No associations
LandOfFree
Space-Time Noncommutativity, Discreteness of Time and Unitarity 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 Noncommutativity, Discreteness of Time and Unitarity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Space-Time Noncommutativity, Discreteness of Time and Unitarity will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-545891