Renormalization of self-consistent $Φ$-derivable approximations

Details Renormalization of self-consistent $Φ$-derivable approximations Renormalization of self-consistent $Φ$-derivable approximations

2002-10-18

arxiv.org/abs/hep-ph/0210262v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

16 pages, LaTeX using ws-procs9x6.cls (included)<br> To appear in the proceedings of the workshop "Progress in Nonequilibrium

Scientific paper

Within finite temperature field theory, we show that truncated non-perturbative self-consistent Dyson resummation schemes can be renormalized with local vacuum counterterms. For this the theory has to be renormalizable in the usual sense and the self-consistent scheme must follow Baym's Phi-derivable concept. Our BPHZ-renormalization scheme leads to renormalized self-consistent equations of motion. At the same time the corresponding 2PI-generating functional and the thermodynamic potential can be renormalized with the same counterterms used for the equations of motion. This guarantees the standard Phi-derivable properties like thermodynamic consistency and exact conservation laws also for the renormalized approximation schemes. We give also a short overview over symmetry properties of the various functions defined within the 2PI scheme for the case that the underlying classical field theory has a global linearly realized symmetry.

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