Tree Quantum Field Theory

Details Tree Quantum Field Theory Tree Quantum Field Theory

2008-07-25

arxiv.org/abs/0807.4122v1

Journal of Noncommutative Geometry, Volume 3, Issue 1, 2009 page 99

Physics

High Energy Physics

High Energy Physics - Theory

20 pages, 6 figures

Scientific paper

We propose a new formalism for quantum field theory which is neither based on functional integrals, nor on Feynman graphs, but on marked trees. This formalism is constructive, i.e. it computes correlation functions through convergent rather than divergent expansions. It applies both to Fermionic and Bosonic theories. It is compatible with the renormalization group, and it allows to define non-perturbatively {\it differential} renormalization group equations. It accommodates any general stable polynomial Lagrangian. It can equally well treat noncommutative models or matrix models such as the Grosse-Wulkenhaar model. Perhaps most importantly it removes the space-time background from its central place in QFT, paving the way for a nonperturbative definition of field theory in noninteger dimension.

Affiliated with

Also associated with

No associations

Rating

Tree 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 Tree Quantum Field Theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Tree Quantum Field Theory will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-325991