Renormalization of gauge fields: A Hopf algebra approach

Details Renormalization of gauge fields: A Hopf algebra approach Renormalization of gauge fields: A Hopf algebra approach

2006-10-12

arxiv.org/abs/hep-th/0610137v1

Commun.Math.Phys.276:773-798,2007

Physics

High Energy Physics

High Energy Physics - Theory

24 pages; uses feynmf

Scientific paper

10.1007/s00220-007-0353-9

We study the Connes-Kreimer Hopf algebra of renormalization in the case of gauge theories. We show that the Ward identities and the Slavnov-Taylor identities (in the abelian and non-abelian case respectively) are compatible with the Hopf algebra structure, in that they generate a Hopf ideal. Consequently, the quotient Hopf algebra is well-defined and has those identities built in. This provides a purely combinatorial and rigorous proof of compatibility of the Slavnov-Taylor identities with renormalization.

Affiliated with

Also associated with

No associations

Rating

Renormalization of gauge fields: A Hopf algebra approach 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 Renormalization of gauge fields: A Hopf algebra approach, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Renormalization of gauge fields: A Hopf algebra approach will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-442999