Lambert-W solves the noncommutative $Φ^4$-model

We show that the closed Dyson-Schwinger equation for the 2-point function of the noncommutative λϕ42-model can be rearranged into the boundary value problem Ψ(a+,b+)Ψ(a−,b−)=Ψ(a+,b−)Ψ(a−,b+) for a sectionally holomorphic function Ψ. This expresses the 2-point function as Hilbert transform of an angl...

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Bibliographic Details
Main Authors: Panzer, E, Wulkenhaar, R
Format: Working paper
Published: 2018