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...
Main Authors: | Panzer, E, Wulkenhaar, R |
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Format: | Working paper |
Published: |
2018
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