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Perturbative algebraic quantum field theory and the renormalization groups

Perturbative algebraic quantum field theory and the renormalization groups

A new formalism for the perturbative construction of algebraic quantum field theory is developed.The formalism allows the treatment of low-dimensional theories and of non-polynomial interactions.We discuss the connection between the Stückelberg-Petermann renormalization group which describes the freedom in the perturbative construction with