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Infrared cutoffs and the adiabatic limit in noncommutative spacetime

Claus Doescher·Jochen Zahn
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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.

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Claus Doescher, Jochen Zahn. 2005-12-02. Infrared cutoffs and the adiabatic limit in noncommutative spacetime. https://doi.org/10.1103/physrevd.73.045024

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