Consistent construction of perturbation theoryon non-commutative spaces

  • S. DenkEmail author
  • V. Putz
  • M. Wohlgenannt
Theoretical Physics


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 on a non-commutative 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 non-commutativity 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.


Elementary Particle Quantum Field Theory Perturbation Theory Integral Approach Scalar Model 
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© Springer-Verlag Berlin/Heidelberg 2006

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikTechnische Universität WienWienAustria
  2. 2.Institut für Theoretische PhysikUniversität WienWienAustria

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