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Analytic Results for Schwinger–Dyson Equations with a Mass Term

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Abstract

Using kinematic renormalization, we derive the Schwinger–Dyson equations for a massive Yukawa model and a Wess–Zumino-like one. Both have linear Schwinger–Dyson equations and a massive renormalized particle. An explicit solution is found in the IR limit of the non-supersymmetric case. Parametric solutions are found in the UV limit of the same model and for the supersymmetric model.

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Authors and Affiliations

  1. Sorbonne Universités, UPMC Univ Paris 06, UMR 7589, LPTHE, 75005, Paris, France

    Pierre J. Clavier

  2. CNRS, UMR 7589, LPTHE, 75005, Paris, France

    Pierre J. Clavier

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  1. Pierre J. Clavier
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Correspondence to Pierre J. Clavier.

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Clavier, P.J. Analytic Results for Schwinger–Dyson Equations with a Mass Term. Lett Math Phys 105, 779–794 (2015). https://doi.org/10.1007/s11005-015-0762-1

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  • DOI: https://doi.org/10.1007/s11005-015-0762-1

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