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Flow equations forN point functions and bound states

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Zeitschrift für Physik C Particles and Fields

Abstract

We discuss the exact renormalization group or flow equation for the effective action and its decomposition into one particle irreducibleN point functions. With the help of a truncated flow equation for the four point function we study the bound state problem for scalar fields. A combination of analytic and numerical methods is proposed, which is applied to the Wick-Cutkosky model and a QCD-motivated interaction. We present results for the bound state masses and the Bethe-Salpeter wave function.

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, D-69120, Heidelberg, Germany

    Ulrich Ellwanger

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  1. Ulrich Ellwanger
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Supported by a DFG Heisenberg fellowship

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Ellwanger, U. Flow equations forN point functions and bound states. Z. Phys. C - Particles and Fields 62, 503–510 (1994). https://doi.org/10.1007/BF01555911

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  • DOI: https://doi.org/10.1007/BF01555911

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