二维Grosse-Wulkenhaar模型多尺度圈点展开的构造性重整化
Constructive Renormalization of the 2-dimensional Grosse-Wulkenhaar Model with Multiscale Loop Vertex Expansions
摘要：
本文利用圈点展开法构造了二维Moyal平面上的非对易Grosse-Wulkenhaar模型。我们对待重整化与这个新的工具，适应纳尔逊的论点，并证明博雷尔求和的扰动系列。这是第一个在非微扰意义上建立的非对易量子场论模型。
英文摘要：
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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