arXiv subjects

Claus Doescher

Publications and source records attributed to Claus Doescher.

2 recordsLinked to original sources

arXiv2007

Dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism

We study dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism at one-loop order. Nonplanar graphs lead to a distortion of the dispersion relation. We find that the strength of this effect is moderate if the scale of noncommutativity is identified with the Planck scale and parameters typical for a Higgs field are employed. The contribution of the nonplanar graphs is calculated rigorously using the framework of oscillatory integrals.

hep-th↗

arXiv2005

Infrared cutoffs and the adiabatic limit in noncommutative spacetime

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.

hep-th↗