1104.3750 (Zhituo Wang)

Construction of 2-dimensional Grosse-Wulkenhaar Model    [PDF]

Zhituo Wang

In this paper we construct the noncommutative Grosse-Wulkenhaar model on
2-dimensional Moyal plane with the method of loop vertex expansion. We treat
renormalization with this new tool, adapt Nelson's argument and prove Borel
summability of the perturbation series. This is the first non-commutative
quantum field theory model to be built in a non-perturbative sense.

View original: http://arxiv.org/abs/1104.3750