Publications in Scientific Journals:
S. Denk, V. Putz, M. Wohlgenannt:
"Consistent Construction of Perturbation Theory on Noncommutative Spaces";
European Physical Journal C,
45
(2006),
263.
English abstract:
We examine the effect of non-local deformations on the applicability of interaction point time ordered perturbation theory (IPTOPT) based on the free Hamiltonian of local theories. The usual argument for the case of quantum field theory (QFT) on a noncommutative (NC) space (based on the fact that the introduction of star products in bilinear terms does not alter the action) is not applicable to IPTOPT due to several discrepancies compared to the naive path integral approach when noncommutativity involves time. These discrepancies are explained in detail. Besides scalar models, gauge fields are also studied. For both cases, we discuss the free Hamiltonian with respect to non-local deformations.
"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1140/epjc/s2005-02410-y
Created from the Publication Database of the Vienna University of Technology.