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Beyond rainbow-ladder in bound state equations

  • Regular Article - Theoretical Physics
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Abstract

In this work we devise a new method to study quark-anti-quark interactions beyond simple ladder-exchange that yield massless pions in the chiral limit. The method is based on the requirement to have a representation of the quark-gluon vertex that is explicitly given in terms of quark dressings functions. We outline a general procedure to generate the Bethe-Salpeter kernel for a given vertex representation. Our method allows not only the identification of the mesons' masses but also the extraction of their Bethe-Salpeter wave functions exposing their internal structure. We exemplify our method with vertex models that are of phenomenological interest.

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Authors and Affiliations

  1. Institute for Theoretical Physics, Justus-Liebig-University Gießen, Gießen, Germany

    Walter Heupel, Tobias Goecke & Christian S. Fischer

Authors
  1. Walter Heupel
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  2. Tobias Goecke
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  3. Christian S. Fischer
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Corresponding author

Correspondence to Christian S. Fischer.

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Communicated by R. Alkofer

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Heupel, W., Goecke, T. & Fischer, C.S. Beyond rainbow-ladder in bound state equations. Eur. Phys. J. A 50, 85 (2014). https://doi.org/10.1140/epja/i2014-14085-x

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  • DOI: https://doi.org/10.1140/epja/i2014-14085-x

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