Activities per year
Abstract
Quantum field theories, at short scales, can be approximated by a scaling limit theory. In this approximation, an additional symmetry is gained, namely dilation covariance. To understand the structure of this dilation symmetry, we investigate it in a nonperturbative, model independent context. To that end, it turns out to be necessary to consider nonpure vacuum states in the limit. These can be decomposed into an integral of pure states; we investigate how the symmetries and observables of the theory behave under this decomposition. In particular, we consider several natural conditions of increasing strength that yield restrictions on the decomposed dilation symmetry.
Original language  English 

Pages (fromto)  2160 
Number of pages  40 
Journal  Communications in Mathematical Physics 
Volume  294 
Issue number  1 
DOIs  
Publication status  Published  Feb 2010 

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 Sep 2009Activity: Talk or presentation › Invited talk

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