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• W2258361138 abstract "The Feynman-Schwinger representation provides a convenient framework for the calculation of nonperturbative propagators. In this paper we first investigate an analytically solvable case, namely the scalar QED in 0+1 dimension. With this toy model we illustrate how the formalism works. The analytic result for the self-energy is compared with the perturbative result. Next, using a ${ensuremath{chi}}^{2}ensuremath{varphi}$ interaction, we discuss the regularization of various divergences encountered in this formalism. The ultraviolet divergence, which is common in standard perturbative field theory applications, is removed by using a Pauli-Villars regularization. We show that the divergence associated with large values of Feynman-Schwinger parameter s is spurious and it can be avoided by using an imaginary Feynman parameter $mathrm{is}.$" @default.
• W2258361138 created "2016-06-24" @default.
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• W2258361138 date "1999-10-14" @default.
• W2258361138 modified "2023-10-17" @default.
• W2258361138 title "Feynman-Schwinger representation approach to nonperturbative physics" @default.
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• W2258361138 doi "https://doi.org/10.1103/physrevc.60.055210" @default.
• W2258361138 hasPublicationYear "1999" @default.
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