Paper ID: 2208.12586

Large-N dynamics of the spiked tensor model with random initial conditions

Vasily Sazonov

In these notes, we develop a path integral approach for the partial differential equations with random initial conditions. Then, we apply it to the dynamics of the spiked tensor model and show that the large-$N$ saddle point equations are dominated by the melonic type diagrams.

Submitted: Aug 26, 2022