Eur. Phys. J. A (2006) 29: 129-131
https://doi.org/10.1140/epja/i2005-10312-y

Quark-Gluon-Plasma Thermalization

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

Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120, Heidelberg, Germany

^* e-mail: reinosa@hep.itp.tuwien.ac.at

Received: 28 October 2005
Accepted: 2 January 2006
Published online: 1 September 2006

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.