Renormalization of self-consistent Schwinger-Dyson equations at finite temperature

Abstract

We show that Dyson resummation schemes based on Baym's $\Phi$-derivable approximations can be renormalized with counter term structures solely defined on the vacuum level. First applications to the self-consistent solution of the sunset self-energy in ${\varphi }^4$-theory are presented.

Contribution to the proceedings of the International Workshop XXX on Gross Properties of Nuclei and Nuclear Excitations - Ultrarelativistic Heavy-Ion Collisions, Jan. 13-19, 2002, Hirschegg, Austria 7 Pages LaTeX V2: Added conference information as a footnote