Michael Duetsch
(MPI-MIS Leipzig)
Versions of the renormalization group - viewed from perturbative algebraic QFT
(based on joint work with Klaus Fredenhagen and Romeo
Brunetti)
In the framework of perturbative algebraic QFT the following versions of
the renormalization group are formulated and their relations are
clarified:
- Stueckelberg - Petermann (group of finite renormalizations),
- Gell-Mann - Low (behaviour under scaling),
- Wilson (flow of effective potential as function of a cutoff).
Since the algebraic structure does not depend on the choice of the 2-point
function, we use a formalism which is manifestly independent of this
choice.
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