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We study dispersion relations in the noncommutative \phi^3 and Wess-Zuminomodel in the Yang-Feldman formalism at one-loop order. Nonplanar graphs lead toa distortion of the dispersion relation. We find that the strength of thiseffect is moderate if the scale of noncommutativity is identified with thePlanck scale and parameters typical for a Higgs field are employed. Thecontribution of the nonplanar graphs is calculated rigorously using theframework of oscillatory integrals.Comment: 23 pages, 2 figures. v2: Minor corrections and changes in the  presentatio

Dispersion Relations in the Noncommutative $$\phi^3$$ and Wess–Zumino Model in the Yang–Feldman Formalism