标题： 具有Grosse-Wulkenhaar势的非交换Minkowski空间上QFT中的发散性 显示英文标题

标题： Divergences in QFT on the Noncommutative Minkowski Space with Grosse-Wulkenhaar potential

摘要： 我们研究了二维非交换Minkowski空间上具有Grosse-Wulkenhaar势的量子场论。 我们明确构造了推迟传播子，并证明它不是一个缓增广义函数。 这导致在尝试定义这些分布的平面乘积时出现问题，它们出现在Yang-Feldman级数中。 在自对偶点及以上，这些问题无法再被定义，即使是在不同点上也无法定义。 这表明我们面对的并非普通的紫外发散。 显示英文摘要

摘要： We study quantum field theory on the two-dimensional Noncommutative Minkoswki space with a Grosse-Wulkenhaar potential. We explicitly construct the retarded propagator and show that it is not a tempered distribution. This leads to problems when trying to define planar products of such distributions, as they appear in the Yang-Feldman series. At and above the self-dual point, these can no longer be defined, not even at different points. This shows that we do not deal with an ordinary ultraviolet divergence.