Abstract.
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.
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Reinosa, U. Non-perturbative renormalization of Φ-derivable approximations in theories with multiple fields. Eur. Phys. J. A 29, 129–131 (2006). https://doi.org/10.1140/epja/i2005-10312-y
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DOI: https://doi.org/10.1140/epja/i2005-10312-y