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

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.

23 pages, 2 figures. v2: Minor corrections and changes in the presentation

References in corpus (2)

• Remarks on twisted noncommutative quantum field theory
• Ultraviolet Finiteness of the averaged Hamiltonian on the noncommutative Minkowski space

Cited by in corpus (5)

• Quantum Field Theory on Quantum Spacetime
• Divergences in quantum field theory on the noncommutative two-dimensional Minkowski space with Grosse-Wulkenhaar potential
• Noncommutative Time in Quantum Field Theory
• Noncommutative (supersymmetric) electrodynamics in the Yang-Feldman formalism
• The wave front set of oscillatory integrals with inhomogeneous phase function