A quantum field algebra

Details A quantum field algebra A quantum field algebra

2002-01-16

arxiv.org/abs/math-ph/0201033v1

Physics

Mathematical Physics

27 pages

Scientific paper

The Laplace Hopf algebra created by Rota and coll. is generalized to provide an algebraic tool for combinatorial problems of quantum field theory. This framework encompasses commutation relations, normal products, time-ordered products and renormalisation. It considers the operator product and the time-ordered product as deformations of the normal product. In particular, it gives an algebraic meaning to Wick's theorem and it extends the concept of Laplace pairing to prove that the renormalised time-ordered product is an associative deformation of the normal product involving an infinite number of parameters. The parameters themselves form a group: the renormalisation group, which acts on the product instead of on the algebra.

Affiliated with

Also associated with

No associations

Rating

A quantum field algebra 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 A quantum field algebra, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A quantum field algebra will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-142300