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Abstract
We present a method of shortdistance analysis in quantum field theory that does not require choosing a renormalization prescription a priori. We set out from a local net of algebras with associated pointlike quantum fields. The net has a naturally defined scaling limit in the sense of Buchholz and Verch; we investigate the effect of this limit on the pointlike fields. Both for the fields and their operator product expansions, a welldefined limit procedure can be established. This can always be interpreted in the usual sense of multiplicative renormalization, where the renormalization factors are determined by our analysis. We also consider the limits of symmetry actions. In particular, for suitable limit states, the group of scaling transformations induces a dilation symmetry in the limit theory.
Original language  English 

Pages (fromto)  763798 
Number of pages  36 
Journal  Communications in Mathematical Physics 
Volume  285 
Issue number  2 
DOIs  
Publication status  Published  Jan 2009 

Talk "Scaling limits and dilation symmetries in Quantum Field Theory"
Henning Bostelmann (Invited speaker)
18 Jul 2017Activity: Talk or presentation › Invited talk

On the shortdistance scaling limit in quantum ﬁeld theory
Henning Bostelmann (Invited speaker)
30 Sept 2009Activity: Talk or presentation › Invited talk

Talk "Scaling algebras and pointlike fields"
Henning Bostelmann (Invited speaker)
22 Nov 2008Activity: Talk or presentation › Workshop