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Can I read Complete Solution of the LSZ Model via Topological Recursion on EtoBox?
Complete Solution of the LSZ Model via Topological Recursion by Johannes Branahl; Alexander Hock is a Mathematics article available to read on EtoBox.
What is Complete Solution of the LSZ Model via Topological Recursion about?
We prove that the Langmann-Szabo-Zarembo (LSZ) model with quartic potential, a toy model for a quantum field theory on noncommutative spaces grasped as a complex matrix model, obeys topological recursion of Chekhov, Eynard and Orantin. By introducing two families of correlation functions, one corresponding to the meromorphic differentials ω g,n of topological recursion, we obtain Dyson-Schwinger equations that eventually lead to the abstract loop equations being, together with their pole structure, the necessary condition for topological recursion. This strategy to show the exact solvability of the LSZ model establishes another approach towards the exceptional property of integrability in some quantum field theories. We compare differences in the loop equations for the LSZ model (with complex fields) and the Grosse-Wulkenhaar model (with hermitian fields) and their consequences for the resulting particular type of topological recursion that governs the models. Contents 6. Cross Checks . . . . . . . . . . .
Who reads Complete Solution of the LSZ Model via Topological Recursion?
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Johannes Branahl; Alexander Hock
- Publisher
- Springer Science and Business Media LLC
- Published
- 2023
- Language
- EN
- Field
- Mathematics (Physical Sciences)