Constructive Renormalization of the $2$-dimensional Grosse-Wulkenhaar Model

Zhituo Wang

We study a quartic matrix model with partition function $Z=\int dM\exp \mathrm{Tr}(-\Delta M^2-\frac{\lambda }{4}{M}^4)$. The integral is over the space of Hermitian $(\Lambda +1)\times (\Lambda +1)$ matrices, th…