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Higher Loop Corrections to a Schwinger–Dyson Equation

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Abstract

We consider the effects of higher loop corrections to a Schwinger–Dyson equation for propagators. This is made possible by the efficiency of the methods we developed in preceding works, still using the supersymmetric Wess–Zumino model as a laboratory. We obtain the dominant contributions of the three and four-loop primitive divergences at high order in perturbation theory, without the need for their full evaluations. Our main conclusion is that the asymptotic behavior of the perturbative series of the renormalization function remains unchanged, and we conjecture that this will remain the case for all finite order corrections.

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Authors and Affiliations

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

    Marc P. Bellon

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

    Marc P. Bellon

  3. Departamento de Física, Universidad Nacional de La Plata, C.C. 67, 1900, La Plata, Argentina

    Fidel A. Schaposnik

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  1. Marc P. Bellon
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  2. Fidel A. Schaposnik
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Correspondence to Marc P. Bellon.

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F. A. Schaposnik associated with CICBA.

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Bellon, M.P., Schaposnik, F.A. Higher Loop Corrections to a Schwinger–Dyson Equation. Lett Math Phys 103, 881–893 (2013). https://doi.org/10.1007/s11005-013-0621-x

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  • DOI: https://doi.org/10.1007/s11005-013-0621-x

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