Non-perturbative renormalization of Φ-derivable approximations in theories with multiple fields

  • U. ReinosaEmail author
Quark-Gluon-Plasma Thermalization


We provide a renormalization procedure for Φ-derivable approximations in theories coupling different types of fields. We illustrate our approach on a scalar ϕ4 theory coupled to fermions via a Yukawa-like interaction. The non-perturbative renormalization amounts to fixing the scalar coupling via a set of nested Bethe-Salpeter equations coupling fermions to scalars.


11.10.Wx Finite-temperature field theory 11.15.Tk Other nonperturbative techniques 11.10.Gh Renormalization 


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  1. 1.
    J.M. Luttinger, J.C. Ward, Phys. Rev. 118, 1417 (1960)zbMATHMathSciNetCrossRefADSGoogle Scholar
  2. 2.
    J.P. Blaizot, E. Iancu, A. Rebhan, Phys. Rev. Lett. 83, 2906 (1999)CrossRefADSGoogle Scholar
  3. 3.
    J. Berges, Nucl. Phys. A 699, 847 (2002)zbMATHCrossRefADSGoogle Scholar
  4. 4.
    H. van Hees, J. Knoll, Phys. Rev. D 65, 025010Google Scholar
  5. 5.
    U. Reinosa, Nucl. Phys. A 772, 138 (2006).CrossRefADSGoogle Scholar

Copyright information

© Società Italiana di Fisica and Springer-Verlag 2006

Authors and Affiliations

  1. 1.Institut für Theoretische PhysikUniversität HeidelbergHeidelbergGermany

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