Complete Solution of the LSZ Model via Topological Recursion

We prove that the Langmann-Szabo-Zarembo (LSZ) model with quartic potential, a toy for quantum field theory on noncommutative spaces grasped as complex matrix model, obeys topological recursion of Chekhov, Eynard and Orantin. By introducing two families correlation functions, one corresponding to meromorphic differentials $\omega_{g,n}$ recursion, we obtain Dyson-Schwinger equations eventually lead abstract loop being, together their pole structure, necessary condition recursion. This strategy show exact solvability LSZ establishes another approach towards exceptional property integrability in some theories. compare differences (with fields) Grosse-Wulkenhaar hermitian fieldss) consequences resulting particular type governs models.