Construction of 2-dimensional Grosse-Wulkenhaar Model

Details Construction of 2-dimensional Grosse-Wulkenhaar Model Construction of 2-dimensional Grosse-Wulkenhaar Model

2011-04-19

arxiv.org/abs/1104.3750v4

Physics

Mathematical Physics

30 pages, 18 figures. Notations in sections 3 have been slightly changed. One reference added

Scientific paper

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.

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