Scaling algebras and pointlike fields: A nonperturbative approach to renormalization

Details Scaling algebras and pointlike fields: A nonperturbative approach to renormalization Scaling algebras and pointlike fields: A nonperturbative approach to renormalization

2007-11-27

arxiv.org/abs/0711.4237v2

Commun.Math.Phys.285:763-798,2009

Physics

Mathematical Physics

minor changes and clarifications; as to appear in Commun. Math. Phys.; 37 pages

Scientific paper

10.1007/s00220-008-0613-3

We present a method of short-distance 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 well-defined 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.

Affiliated with

Also associated with

No associations

Rating

Scaling algebras and pointlike fields: A nonperturbative approach to renormalization does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Scaling algebras and pointlike fields: A nonperturbative approach to renormalization, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Scaling algebras and pointlike fields: A nonperturbative approach to renormalization will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686465