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- W2968693603 abstract "We use the worldline representation for correlation functions together with numerical path integral methods to extract nonperturbative information about the propagator to all orders in the coupling in the quenched limit (small-$N_{text{f}}$ expansion). Specifically, we consider a simple two-scalar field theory with cubic interaction (S${}^2$QED) in four dimensions as a toy model for QED-like theories. Using a worldline regularization technique, we are able to analyze the divergence structure of all-order diagrams and to perform the renormalization of the model nonperturbatively. Our method gives us access to a wide range of couplings and coordinate distances. We compute the pole mass of the S${}^2$QED electron and observe sizable nonperturbative effects in the strong-coupling regime arising from the full photon dressing. We also find indications for the existence of a critical coupling where the photon dressing compensates the bare mass such that the electron mass vanishes. The short distance behavior remains unaffected by the photon dressing in accordance with the power-counting structure of the model." @default.
- W2968693603 created "2019-08-22" @default.
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- W2968693603 date "2019-11-20" @default.
- W2968693603 modified "2023-10-15" @default.
- W2968693603 title "Propagator from nonperturbative worldline dynamics" @default.
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- W2968693603 doi "https://doi.org/10.1103/physrevd.100.105020" @default.
- W2968693603 hasPublicationYear "2019" @default.
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