Scaling algebras and renormalization group in algebraic quantum field theory

  title={Scaling algebras and renormalization group in algebraic quantum field theory},
  author={Detlev Buchholz and Rainer Verch},
  journal={Reviews in Mathematical Physics},
For any given algebra of local observables in Minkowski space an associated scaling algebra is constructed on which renormalization group (scaling) transformations act in a canonical manner. The method can be carried over to arbitrary space-time manifolds and provides a framework for the systematic analysis of the short distance properties of local quantum field theories. It is shown that every theory has a (possibly non-unique) scaling limit which can be classified according to its classical… 

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