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MP: Theoretische und Mathematische Grundlagen der Physik

MP 3: Quantenmech., Schroed.+Dirac-Op, Vielteilchensysteme und QFT

MP 3.3: Vortrag

Mittwoch, 29. März 2006, 15:00–15:30, P1-02-111

On the path integral in non–commutative quantum field theory — •Christoph Dehne — Institut für Theoretische Physik, Vor dem Hospitaltore 1, 04103 Leipzig

For quantum field theories on non-commutative spacetime, it is known that Feynman rules are no longer equivalent, if the time component does not commute with the spatial component. In particular, the Feynman rules that are derived from a path integral based on the T^⋆–operator (the so–called naïve Feynman rules) violate the optical theorem (violation of unitarity).
Within the Hamiltonian approach to quantum field theory we present a path integral which differs from the above one in its construction. We comment on different aspects that are related to this (new) path integral.