Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2004-02-27
Eur.Phys.J.C45:263-272,2006
Physics
High Energy Physics
High Energy Physics - Theory
22 pages; major changes in Section 3; minor changes in the Introduction and Conclusion
Scientific paper
10.1140/epjc/s2005-02410-y
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.
Denk Stefan
Putz Volkmar
Wohlgenannt Michael
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