Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories

Details Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories

2009-12-30

arxiv.org/abs/0912.5438v2

Physics

Mathematical Physics

58 pages, 23 figures, correction in the references and addition of preprint numbers

Scientific paper

We define a new topological polynomial extending the Bollobas-Riordan one, which obeys a four-term reduction relation of the deletion/contraction type and has a natural behavior under partial duality. This allows to write down a completely explicit combinatorial evaluation of the polynomials, occurring in the parametric representation of the non-commutative Grosse-Wulkenhaar quantum field theory. An explicit solution of the parametric representation for commutative field theories based on the Mehler kernel is also provided.

Affiliated with

Also associated with

No associations

Rating

Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories 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 Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Topological graph polynomials and quantum field theory, Part II: Mehler kernel theories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-34073