Infrared cutoffs and the adiabatic limit in noncommutative spacetime
arXiv:hep-th/0512028 · doi:10.1103/PhysRevD.73.045024
Abstract
We discuss appropriate infrared cutoffs and their adiabatic limit for field theories on the noncommutative Minkowski space in the Yang-Feldman formalism. In order to do this, we consider a mass term as interaction term. We show that an infrared cutoff can be defined quite analogously to the commutative case and that the adiabatic limit of the two-point function exists and coincides with the expectation, to all orders.
arXiv comment19 pages
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- Perturbative Algebraic Quantum Field Theory on Quantum Spacetime: Adiabatic and Ultraviolet Convergence
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