Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT

Details Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT

2004-07-11

arxiv.org/abs/hep-th/0407082v1

J.Phys. A37 (2004) 11037-11052

Physics

High Energy Physics

High Energy Physics - Theory

19 pages, 2 figures

Scientific paper

10.1088/0305-4470/37/45/020

In this article we continue to explore the notion of Rota-Baxter algebras in the context of the Hopf algebraic approach to renormalization theory in perturbative quantum field theory. We show in very simple algebraic terms that the solutions of the recursively defined formulae for the Birkhoff factorization of regularized Hopf algebra characters, i.e. Feynman rules, naturally give a non-commutative generalization of the well-known Spitzer's identity. The underlying abstract algebraic structure is analyzed in terms of complete filtered Rota-Baxter algebras.

Affiliated with

Also associated with

No associations

Rating

Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT 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 Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Spitzer's Identity and the Algebraic Birkhoff Decomposition in pQFT will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-158264