Renormalizable noncommutative quantum field theory

Details Renormalizable noncommutative quantum field theory Renormalizable noncommutative quantum field theory

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.2491g&link_type=abstract

General Relativity and Gravitation, Volume 43, Issue 9, pp.2491-2498

Physics

Noncommutative Field Theory, Ward Identity, Schwinger-Dyson Equation, Integral Equations

Scientific paper

We discuss the Euclidean noncommutative {φ^4_4}-quantum field theory as an example of a renormalizable field theory. Using a Ward identity, Disertori, Gurau, Magnen and Rivasseau were able to prove the vanishing of the beta function for the coupling constant to all orders in perturbation theory. We extend this work and obtain from the Schwinger-Dyson equation a non-linear integral equation for the renormalised two-point function alone. The non-trivial renormalised four-point function fulfils a linear integral equation with the inhomogeneity determined by the two-point function. These integral equations might be the starting point of a nonperturbative construction of a Euclidean quantum field theory on a noncommutative space. We expect to learn about renormalisation from this almost solvable model.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-1402068