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

Claus Doescher·Jochen Zahn
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Abstract

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.

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Claus Doescher, Jochen Zahn. 2007-10-13. Dispersion relations in the noncommutative ϕ^3 and Wess-Zumino model in the Yang-Feldman formalism. https://doi.org/10.1007/s00023-009-0401-4

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